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Finding the Fourth Proportional to 403,733.50, 557,152.24 and 224,885.50

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Solution

The fourth proportional to 403,733.50, 557,152.24 and 224,885.50 is: 310,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,733.50 : 557,152.24 = 224,885.50 : x
  2. Step 2: Convert to fraction form
    403,733.50/557,152.24 = 224,885.50/x
  3. Step 3: Cross multiply
    403,733.50x = 557,152.24 × 224,885.50
  4. Step 4: Simplify right side
    403,733.50x = 125,295,460,068.52
  5. Step 5: Solve for x
    x = 125,295,460,068.52/403,733.50
  6. Step 6: Final answer
    x = 310,342.00

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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.