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Finding the Fourth Proportional to 569,085.76, 785,336.74 and 314,435.13

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Solution

The fourth proportional to 569,085.76, 785,336.74 and 314,435.13 is: 433,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,085.76 : 785,336.74 = 314,435.13 : x
  2. Step 2: Convert to fraction form
    569,085.76/785,336.74 = 314,435.13/x
  3. Step 3: Cross multiply
    569,085.76x = 785,336.74 × 314,435.13
  4. Step 4: Simplify right side
    569,085.76x = 246,937,459,935.68
  5. Step 5: Solve for x
    x = 246,937,459,935.68/569,085.76
  6. Step 6: Final answer
    x = 433,919.59

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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.