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Finding the Fourth Proportional to 296,001.42, 443,901.54 and 96,272.24

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Solution

The fourth proportional to 296,001.42, 443,901.54 and 96,272.24 is: 144,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,001.42 : 443,901.54 = 96,272.24 : x
  2. Step 2: Convert to fraction form
    296,001.42/443,901.54 = 96,272.24/x
  3. Step 3: Cross multiply
    296,001.42x = 443,901.54 × 96,272.24
  4. Step 4: Simplify right side
    296,001.42x = 42,735,393,375.74
  5. Step 5: Solve for x
    x = 42,735,393,375.74/296,001.42
  6. Step 6: Final answer
    x = 144,375.64

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1.5x scale

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.