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Finding the Fourth Proportional to 462,509.68, 693,757.24 and 249,376.80

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Solution

The fourth proportional to 462,509.68, 693,757.24 and 249,376.80 is: 374,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,509.68 : 693,757.24 = 249,376.80 : x
  2. Step 2: Convert to fraction form
    462,509.68/693,757.24 = 249,376.80/x
  3. Step 3: Cross multiply
    462,509.68x = 693,757.24 × 249,376.80
  4. Step 4: Simplify right side
    462,509.68x = 173,006,960,488.03
  5. Step 5: Solve for x
    x = 173,006,960,488.03/462,509.68
  6. Step 6: Final answer
    x = 374,061.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.