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Finding the Fourth Proportional to 402,032.29, 602,260.10 and 233,197.91

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Solution

The fourth proportional to 402,032.29, 602,260.10 and 233,197.91 is: 349,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,032.29 : 602,260.10 = 233,197.91 : x
  2. Step 2: Convert to fraction form
    402,032.29/602,260.10 = 233,197.91/x
  3. Step 3: Cross multiply
    402,032.29x = 602,260.10 × 233,197.91
  4. Step 4: Simplify right side
    402,032.29x = 140,445,795,430.40
  5. Step 5: Solve for x
    x = 140,445,795,430.40/402,032.29
  6. Step 6: Final answer
    x = 349,339.59

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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.