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Finding the Fourth Proportional to 402,156.60, 603,695.70 and 236,038.20

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Solution

The fourth proportional to 402,156.60, 603,695.70 and 236,038.20 is: 354,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,156.60 : 603,695.70 = 236,038.20 : x
  2. Step 2: Convert to fraction form
    402,156.60/603,695.70 = 236,038.20/x
  3. Step 3: Cross multiply
    402,156.60x = 603,695.70 × 236,038.20
  4. Step 4: Simplify right side
    402,156.60x = 142,495,246,375.74
  5. Step 5: Solve for x
    x = 142,495,246,375.74/402,156.60
  6. Step 6: Final answer
    x = 354,327.76

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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.