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Finding the Fourth Proportional to 517,509.14, 776,017.92 and 180,508.88

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Solution

The fourth proportional to 517,509.14, 776,017.92 and 180,508.88 is: 270,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,509.14 : 776,017.92 = 180,508.88 : x
  2. Step 2: Convert to fraction form
    517,509.14/776,017.92 = 180,508.88/x
  3. Step 3: Cross multiply
    517,509.14x = 776,017.92 × 180,508.88
  4. Step 4: Simplify right side
    517,509.14x = 140,078,125,599.13
  5. Step 5: Solve for x
    x = 140,078,125,599.13/517,509.14
  6. Step 6: Final answer
    x = 270,677.59

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1.5x scale

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.