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Finding the Fourth Proportional to 429,006.51, 592,306.31 and 265,836.17

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Solution

The fourth proportional to 429,006.51, 592,306.31 and 265,836.17 is: 367,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,006.51 : 592,306.31 = 265,836.17 : x
  2. Step 2: Convert to fraction form
    429,006.51/592,306.31 = 265,836.17/x
  3. Step 3: Cross multiply
    429,006.51x = 592,306.31 × 265,836.17
  4. Step 4: Simplify right side
    429,006.51x = 157,456,436,626.52
  5. Step 5: Solve for x
    x = 157,456,436,626.52/429,006.51
  6. Step 6: Final answer
    x = 367,025.75

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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.