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Finding the Fourth Proportional to 402,032.60, 602,830.20 and 165,399.20

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Solution

The fourth proportional to 402,032.60, 602,830.20 and 165,399.20 is: 248,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,032.60 : 602,830.20 = 165,399.20 : x
  2. Step 2: Convert to fraction form
    402,032.60/602,830.20 = 165,399.20/x
  3. Step 3: Cross multiply
    402,032.60x = 602,830.20 × 165,399.20
  4. Step 4: Simplify right side
    402,032.60x = 99,707,632,815.84
  5. Step 5: Solve for x
    x = 99,707,632,815.84/402,032.60
  6. Step 6: Final answer
    x = 248,008.83

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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.