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Finding the Fourth Proportional to 402,952.10, 604,865.55 and 314,597.30

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Solution

The fourth proportional to 402,952.10, 604,865.55 and 314,597.30 is: 472,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,952.10 : 604,865.55 = 314,597.30 : x
  2. Step 2: Convert to fraction form
    402,952.10/604,865.55 = 314,597.30/x
  3. Step 3: Cross multiply
    402,952.10x = 604,865.55 × 314,597.30
  4. Step 4: Simplify right side
    402,952.10x = 190,289,068,893.02
  5. Step 5: Solve for x
    x = 190,289,068,893.02/402,952.10
  6. Step 6: Final answer
    x = 472,237.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.