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Finding the Fourth Proportional to 569,638.28, 786,085.28 and 314,980.76

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Solution

The fourth proportional to 569,638.28, 786,085.28 and 314,980.76 is: 434,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,638.28 : 786,085.28 = 314,980.76 : x
  2. Step 2: Convert to fraction form
    569,638.28/786,085.28 = 314,980.76/x
  3. Step 3: Cross multiply
    569,638.28x = 786,085.28 × 314,980.76
  4. Step 4: Simplify right side
    569,638.28x = 247,601,738,919.21
  5. Step 5: Solve for x
    x = 247,601,738,919.21/569,638.28
  6. Step 6: Final answer
    x = 434,664.85

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.