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Finding the Fourth Proportional to 570,643, 787,352.10 and 337,952.40

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Solution

The fourth proportional to 570,643, 787,352.10 and 337,952.40 is: 466,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,643 : 787,352.10 = 337,952.40 : x
  2. Step 2: Convert to fraction form
    570,643/787,352.10 = 337,952.40/x
  3. Step 3: Cross multiply
    570,643x = 787,352.10 × 337,952.40
  4. Step 4: Simplify right side
    570,643x = 266,087,531,840.04
  5. Step 5: Solve for x
    x = 266,087,531,840.04/570,643
  6. Step 6: Final answer
    x = 466,294.22

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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.