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Finding the Fourth Proportional to 563,308.14, 844,962.80 and 142,584

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Solution

The fourth proportional to 563,308.14, 844,962.80 and 142,584 is: 213,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,308.14 : 844,962.80 = 142,584 : x
  2. Step 2: Convert to fraction form
    563,308.14/844,962.80 = 142,584/x
  3. Step 3: Cross multiply
    563,308.14x = 844,962.80 × 142,584
  4. Step 4: Simplify right side
    563,308.14x = 120,478,175,875.20
  5. Step 5: Solve for x
    x = 120,478,175,875.20/563,308.14
  6. Step 6: Final answer
    x = 213,876.15

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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.