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Finding the Fourth Proportional to 402,160.90, 555,031.29 and 232,395.02

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Solution

The fourth proportional to 402,160.90, 555,031.29 and 232,395.02 is: 320,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,160.90 : 555,031.29 = 232,395.02 : x
  2. Step 2: Convert to fraction form
    402,160.90/555,031.29 = 232,395.02/x
  3. Step 3: Cross multiply
    402,160.90x = 555,031.29 × 232,395.02
  4. Step 4: Simplify right side
    402,160.90x = 128,986,509,732.70
  5. Step 5: Solve for x
    x = 128,986,509,732.70/402,160.90
  6. Step 6: Final answer
    x = 320,733.59

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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.