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Finding the Fourth Proportional to 402,701.86, 602,738.43 and 296,057.58

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Solution

The fourth proportional to 402,701.86, 602,738.43 and 296,057.58 is: 443,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,701.86 : 602,738.43 = 296,057.58 : x
  2. Step 2: Convert to fraction form
    402,701.86/602,738.43 = 296,057.58/x
  3. Step 3: Cross multiply
    402,701.86x = 602,738.43 × 296,057.58
  4. Step 4: Simplify right side
    402,701.86x = 178,445,282,644.04
  5. Step 5: Solve for x
    x = 178,445,282,644.04/402,701.86
  6. Step 6: Final answer
    x = 443,120.08

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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.