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Finding the Fourth Proportional to 502,333.84, 753,794.52 and 187,014.16

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Solution

The fourth proportional to 502,333.84, 753,794.52 and 187,014.16 is: 280,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,333.84 : 753,794.52 = 187,014.16 : x
  2. Step 2: Convert to fraction form
    502,333.84/753,794.52 = 187,014.16/x
  3. Step 3: Cross multiply
    502,333.84x = 753,794.52 × 187,014.16
  4. Step 4: Simplify right side
    502,333.84x = 140,970,248,970.40
  5. Step 5: Solve for x
    x = 140,970,248,970.40/502,333.84
  6. Step 6: Final answer
    x = 280,630.60

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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.