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Finding the Fourth Proportional to 503,767.50, 755,946.48 and 361,459.40

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Solution

The fourth proportional to 503,767.50, 755,946.48 and 361,459.40 is: 542,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,767.50 : 755,946.48 = 361,459.40 : x
  2. Step 2: Convert to fraction form
    503,767.50/755,946.48 = 361,459.40/x
  3. Step 3: Cross multiply
    503,767.50x = 755,946.48 × 361,459.40
  4. Step 4: Simplify right side
    503,767.50x = 273,243,961,092.91
  5. Step 5: Solve for x
    x = 273,243,961,092.91/503,767.50
  6. Step 6: Final answer
    x = 542,400.93

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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.