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Finding the Fourth Proportional to 472,263.40, 708,395.10 and 156,730.60

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Solution

The fourth proportional to 472,263.40, 708,395.10 and 156,730.60 is: 235,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,263.40 : 708,395.10 = 156,730.60 : x
  2. Step 2: Convert to fraction form
    472,263.40/708,395.10 = 156,730.60/x
  3. Step 3: Cross multiply
    472,263.40x = 708,395.10 × 156,730.60
  4. Step 4: Simplify right side
    472,263.40x = 111,027,189,060.06
  5. Step 5: Solve for x
    x = 111,027,189,060.06/472,263.40
  6. Step 6: Final answer
    x = 235,095.90

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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.