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Finding the Fourth Proportional to 472,256.60, 708,320.10 and 156,680.60

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Solution

The fourth proportional to 472,256.60, 708,320.10 and 156,680.60 is: 234,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,256.60 : 708,320.10 = 156,680.60 : x
  2. Step 2: Convert to fraction form
    472,256.60/708,320.10 = 156,680.60/x
  3. Step 3: Cross multiply
    472,256.60x = 708,320.10 × 156,680.60
  4. Step 4: Simplify right side
    472,256.60x = 110,980,018,260.06
  5. Step 5: Solve for x
    x = 110,980,018,260.06/472,256.60
  6. Step 6: Final answer
    x = 234,999.40

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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.