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Finding the Fourth Proportional to 514,165.92, 769,907.52 and 413,777.76

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Solution

The fourth proportional to 514,165.92, 769,907.52 and 413,777.76 is: 619,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,165.92 : 769,907.52 = 413,777.76 : x
  2. Step 2: Convert to fraction form
    514,165.92/769,907.52 = 413,777.76/x
  3. Step 3: Cross multiply
    514,165.92x = 769,907.52 × 413,777.76
  4. Step 4: Simplify right side
    514,165.92x = 318,570,609,032.76
  5. Step 5: Solve for x
    x = 318,570,609,032.76/514,165.92
  6. Step 6: Final answer
    x = 619,587.17

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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.