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Finding the Fourth Proportional to 537,722.11, 742,065.95 and 292,713.91

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Solution

The fourth proportional to 537,722.11, 742,065.95 and 292,713.91 is: 403,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,722.11 : 742,065.95 = 292,713.91 : x
  2. Step 2: Convert to fraction form
    537,722.11/742,065.95 = 292,713.91/x
  3. Step 3: Cross multiply
    537,722.11x = 742,065.95 × 292,713.91
  4. Step 4: Simplify right side
    537,722.11x = 217,213,024,607.90
  5. Step 5: Solve for x
    x = 217,213,024,607.90/537,722.11
  6. Step 6: Final answer
    x = 403,950.33

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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.