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Finding the Fourth Proportional to 472,353.10, 708,464.85 and 156,777.10

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Solution

The fourth proportional to 472,353.10, 708,464.85 and 156,777.10 is: 235,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,353.10 : 708,464.85 = 156,777.10 : x
  2. Step 2: Convert to fraction form
    472,353.10/708,464.85 = 156,777.10/x
  3. Step 3: Cross multiply
    472,353.10x = 708,464.85 × 156,777.10
  4. Step 4: Simplify right side
    472,353.10x = 111,071,064,634.94
  5. Step 5: Solve for x
    x = 111,071,064,634.94/472,353.10
  6. Step 6: Final answer
    x = 235,144.14

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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.