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Finding the Fourth Proportional to 403,713.50, 557,124.64 and 224,865.50

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Solution

The fourth proportional to 403,713.50, 557,124.64 and 224,865.50 is: 310,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,713.50 : 557,124.64 = 224,865.50 : x
  2. Step 2: Convert to fraction form
    403,713.50/557,124.64 = 224,865.50/x
  3. Step 3: Cross multiply
    403,713.50x = 557,124.64 × 224,865.50
  4. Step 4: Simplify right side
    403,713.50x = 125,278,110,735.92
  5. Step 5: Solve for x
    x = 125,278,110,735.92/403,713.50
  6. Step 6: Final answer
    x = 310,314.40

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1.5x scale

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.