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Finding the Fourth Proportional to 569,164.10, 785,446.74 and 314,515.30

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Solution

The fourth proportional to 569,164.10, 785,446.74 and 314,515.30 is: 434,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,164.10 : 785,446.74 = 314,515.30 : x
  2. Step 2: Convert to fraction form
    569,164.10/785,446.74 = 314,515.30/x
  3. Step 3: Cross multiply
    569,164.10x = 785,446.74 × 314,515.30
  4. Step 4: Simplify right side
    569,164.10x = 247,035,017,065.12
  5. Step 5: Solve for x
    x = 247,035,017,065.12/569,164.10
  6. Step 6: Final answer
    x = 434,031.27

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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.