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Finding the Fourth Proportional to 502,364.80, 753,644.40 and 147,390.40

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Solution

The fourth proportional to 502,364.80, 753,644.40 and 147,390.40 is: 221,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,364.80 : 753,644.40 = 147,390.40 : x
  2. Step 2: Convert to fraction form
    502,364.80/753,644.40 = 147,390.40/x
  3. Step 3: Cross multiply
    502,364.80x = 753,644.40 × 147,390.40
  4. Step 4: Simplify right side
    502,364.80x = 111,079,949,573.76
  5. Step 5: Solve for x
    x = 111,079,949,573.76/502,364.80
  6. Step 6: Final answer
    x = 221,114.12

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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.