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Finding the Fourth Proportional to 502,877.76, 754,436.80 and 147,903.36

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Solution

The fourth proportional to 502,877.76, 754,436.80 and 147,903.36 is: 221,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,877.76 : 754,436.80 = 147,903.36 : x
  2. Step 2: Convert to fraction form
    502,877.76/754,436.80 = 147,903.36/x
  3. Step 3: Cross multiply
    502,877.76x = 754,436.80 × 147,903.36
  4. Step 4: Simplify right side
    502,877.76x = 111,583,737,627.65
  5. Step 5: Solve for x
    x = 111,583,737,627.65/502,877.76
  6. Step 6: Final answer
    x = 221,890.38

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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.