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Finding the Fourth Proportional to 502,384.80, 753,674.40 and 147,410.40

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Solution

The fourth proportional to 502,384.80, 753,674.40 and 147,410.40 is: 221,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,384.80 : 753,674.40 = 147,410.40 : x
  2. Step 2: Convert to fraction form
    502,384.80/753,674.40 = 147,410.40/x
  3. Step 3: Cross multiply
    502,384.80x = 753,674.40 × 147,410.40
  4. Step 4: Simplify right side
    502,384.80x = 111,099,444,773.76
  5. Step 5: Solve for x
    x = 111,099,444,773.76/502,384.80
  6. Step 6: Final answer
    x = 221,144.12

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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.