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Finding the Fourth Proportional to 537,722.14, 742,065.99 and 292,713.95

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Solution

The fourth proportional to 537,722.14, 742,065.99 and 292,713.95 is: 403,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,722.14 : 742,065.99 = 292,713.95 : x
  2. Step 2: Convert to fraction form
    537,722.14/742,065.99 = 292,713.95/x
  3. Step 3: Cross multiply
    537,722.14x = 742,065.99 × 292,713.95
  4. Step 4: Simplify right side
    537,722.14x = 217,213,063,383.23
  5. Step 5: Solve for x
    x = 217,213,063,383.23/537,722.14
  6. Step 6: Final answer
    x = 403,950.38

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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.