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Finding the Fourth Proportional to 403,641, 557,041.86 and 224,793

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Solution

The fourth proportional to 403,641, 557,041.86 and 224,793 is: 310,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,641 : 557,041.86 = 224,793 : x
  2. Step 2: Convert to fraction form
    403,641/557,041.86 = 224,793/x
  3. Step 3: Cross multiply
    403,641x = 557,041.86 × 224,793
  4. Step 4: Simplify right side
    403,641x = 125,219,110,834.98
  5. Step 5: Solve for x
    x = 125,219,110,834.98/403,641
  6. Step 6: Final answer
    x = 310,223.96

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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.