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Finding the Fourth Proportional to 537,871.40, 742,256.52 and 296,149.04

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Solution

The fourth proportional to 537,871.40, 742,256.52 and 296,149.04 is: 408,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,871.40 : 742,256.52 = 296,149.04 : x
  2. Step 2: Convert to fraction form
    537,871.40/742,256.52 = 296,149.04/x
  3. Step 3: Cross multiply
    537,871.40x = 742,256.52 × 296,149.04
  4. Step 4: Simplify right side
    537,871.40x = 219,818,555,831.74
  5. Step 5: Solve for x
    x = 219,818,555,831.74/537,871.40
  6. Step 6: Final answer
    x = 408,682.37

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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.