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Finding the Fourth Proportional to 403,817.50, 557,279.76 and 224,981.02

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Solution

The fourth proportional to 403,817.50, 557,279.76 and 224,981.02 is: 310,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,817.50 : 557,279.76 = 224,981.02 : x
  2. Step 2: Convert to fraction form
    403,817.50/557,279.76 = 224,981.02/x
  3. Step 3: Cross multiply
    403,817.50x = 557,279.76 × 224,981.02
  4. Step 4: Simplify right side
    403,817.50x = 125,377,368,830.16
  5. Step 5: Solve for x
    x = 125,377,368,830.16/403,817.50
  6. Step 6: Final answer
    x = 310,480.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.