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Finding the Fourth Proportional to 403,717.50, 557,130.16 and 224,869.50

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Solution

The fourth proportional to 403,717.50, 557,130.16 and 224,869.50 is: 310,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,717.50 : 557,130.16 = 224,869.50 : x
  2. Step 2: Convert to fraction form
    403,717.50/557,130.16 = 224,869.50/x
  3. Step 3: Cross multiply
    403,717.50x = 557,130.16 × 224,869.50
  4. Step 4: Simplify right side
    403,717.50x = 125,281,580,514.12
  5. Step 5: Solve for x
    x = 125,281,580,514.12/403,717.50
  6. Step 6: Final answer
    x = 310,319.92

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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.