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Finding the Fourth Proportional to 532,032.60, 798,308.10 and 405,629.40

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Solution

The fourth proportional to 532,032.60, 798,308.10 and 405,629.40 is: 608,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,032.60 : 798,308.10 = 405,629.40 : x
  2. Step 2: Convert to fraction form
    532,032.60/798,308.10 = 405,629.40/x
  3. Step 3: Cross multiply
    532,032.60x = 798,308.10 × 405,629.40
  4. Step 4: Simplify right side
    532,032.60x = 323,817,235,618.14
  5. Step 5: Solve for x
    x = 323,817,235,618.14/532,032.60
  6. Step 6: Final answer
    x = 608,641.72

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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.