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Finding the Fourth Proportional to 502,828, 754,094.37 and 147,757.60

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Solution

The fourth proportional to 502,828, 754,094.37 and 147,757.60 is: 221,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,828 : 754,094.37 = 147,757.60 : x
  2. Step 2: Convert to fraction form
    502,828/754,094.37 = 147,757.60/x
  3. Step 3: Cross multiply
    502,828x = 754,094.37 × 147,757.60
  4. Step 4: Simplify right side
    502,828x = 111,423,174,284.71
  5. Step 5: Solve for x
    x = 111,423,174,284.71/502,828
  6. Step 6: Final answer
    x = 221,593.02

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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.