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Finding the Fourth Proportional to 504,021.60, 754,282.80 and 462,031.20

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Solution

The fourth proportional to 504,021.60, 754,282.80 and 462,031.20 is: 691,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,021.60 : 754,282.80 = 462,031.20 : x
  2. Step 2: Convert to fraction form
    504,021.60/754,282.80 = 462,031.20/x
  3. Step 3: Cross multiply
    504,021.60x = 754,282.80 × 462,031.20
  4. Step 4: Simplify right side
    504,021.60x = 348,502,187,223.36
  5. Step 5: Solve for x
    x = 348,502,187,223.36/504,021.60
  6. Step 6: Final answer
    x = 691,442.96

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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.