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Finding the Fourth Proportional to 514,281.59, 771,473.12 and 177,277.88

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Solution

The fourth proportional to 514,281.59, 771,473.12 and 177,277.88 is: 265,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,281.59 : 771,473.12 = 177,277.88 : x
  2. Step 2: Convert to fraction form
    514,281.59/771,473.12 = 177,277.88/x
  3. Step 3: Cross multiply
    514,281.59x = 771,473.12 × 177,277.88
  4. Step 4: Simplify right side
    514,281.59x = 136,765,117,102.88
  5. Step 5: Solve for x
    x = 136,765,117,102.88/514,281.59
  6. Step 6: Final answer
    x = 265,934.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.