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Finding the Fourth Proportional to 503,053.75, 754,498.58 and 147,984.71

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Solution

The fourth proportional to 503,053.75, 754,498.58 and 147,984.71 is: 221,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,053.75 : 754,498.58 = 147,984.71 : x
  2. Step 2: Convert to fraction form
    503,053.75/754,498.58 = 147,984.71/x
  3. Step 3: Cross multiply
    503,053.75x = 754,498.58 × 147,984.71
  4. Step 4: Simplify right side
    503,053.75x = 111,654,252,816.79
  5. Step 5: Solve for x
    x = 111,654,252,816.79/503,053.75
  6. Step 6: Final answer
    x = 221,952.93

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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.