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Finding the Fourth Proportional to 514,267.08, 771,603.67 and 159,308.78

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Solution

The fourth proportional to 514,267.08, 771,603.67 and 159,308.78 is: 239,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,267.08 : 771,603.67 = 159,308.78 : x
  2. Step 2: Convert to fraction form
    514,267.08/771,603.67 = 159,308.78/x
  3. Step 3: Cross multiply
    514,267.08x = 771,603.67 × 159,308.78
  4. Step 4: Simplify right side
    514,267.08x = 122,923,235,652.34
  5. Step 5: Solve for x
    x = 122,923,235,652.34/514,267.08
  6. Step 6: Final answer
    x = 239,026.07

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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.