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Finding the Fourth Proportional to 443,419.70, 665,129.55 and 256,334.90

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Solution

The fourth proportional to 443,419.70, 665,129.55 and 256,334.90 is: 384,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,419.70 : 665,129.55 = 256,334.90 : x
  2. Step 2: Convert to fraction form
    443,419.70/665,129.55 = 256,334.90/x
  3. Step 3: Cross multiply
    443,419.70x = 665,129.55 × 256,334.90
  4. Step 4: Simplify right side
    443,419.70x = 170,495,916,686.30
  5. Step 5: Solve for x
    x = 170,495,916,686.30/443,419.70
  6. Step 6: Final answer
    x = 384,502.35

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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.