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Finding the Fourth Proportional to 472,238.60, 708,293.10 and 156,662.60

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Solution

The fourth proportional to 472,238.60, 708,293.10 and 156,662.60 is: 234,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,238.60 : 708,293.10 = 156,662.60 : x
  2. Step 2: Convert to fraction form
    472,238.60/708,293.10 = 156,662.60/x
  3. Step 3: Cross multiply
    472,238.60x = 708,293.10 × 156,662.60
  4. Step 4: Simplify right side
    472,238.60x = 110,963,038,608.06
  5. Step 5: Solve for x
    x = 110,963,038,608.06/472,238.60
  6. Step 6: Final answer
    x = 234,972.40

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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.