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Finding the Fourth Proportional to 472,600.30, 708,900.45 and 260,023.90

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Solution

The fourth proportional to 472,600.30, 708,900.45 and 260,023.90 is: 390,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,600.30 : 708,900.45 = 260,023.90 : x
  2. Step 2: Convert to fraction form
    472,600.30/708,900.45 = 260,023.90/x
  3. Step 3: Cross multiply
    472,600.30x = 708,900.45 × 260,023.90
  4. Step 4: Simplify right side
    472,600.30x = 184,331,059,720.76
  5. Step 5: Solve for x
    x = 184,331,059,720.76/472,600.30
  6. Step 6: Final answer
    x = 390,035.85

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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.