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Finding the Fourth Proportional to 502,416.40, 753,624.60 and 463,925.20

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Solution

The fourth proportional to 502,416.40, 753,624.60 and 463,925.20 is: 695,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,416.40 : 753,624.60 = 463,925.20 : x
  2. Step 2: Convert to fraction form
    502,416.40/753,624.60 = 463,925.20/x
  3. Step 3: Cross multiply
    502,416.40x = 753,624.60 × 463,925.20
  4. Step 4: Simplify right side
    502,416.40x = 349,625,443,279.92
  5. Step 5: Solve for x
    x = 349,625,443,279.92/502,416.40
  6. Step 6: Final answer
    x = 695,887.80

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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.