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Finding the Fourth Proportional to 553,053.18, 763,184.36 and 311,327.72

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Solution

The fourth proportional to 553,053.18, 763,184.36 and 311,327.72 is: 429,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,053.18 : 763,184.36 = 311,327.72 : x
  2. Step 2: Convert to fraction form
    553,053.18/763,184.36 = 311,327.72/x
  3. Step 3: Cross multiply
    553,053.18x = 763,184.36 × 311,327.72
  4. Step 4: Simplify right side
    553,053.18x = 237,600,446,562.80
  5. Step 5: Solve for x
    x = 237,600,446,562.80/553,053.18
  6. Step 6: Final answer
    x = 429,615.91

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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.