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Finding the Fourth Proportional to 402,699, 602,734.14 and 296,054.70

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Solution

The fourth proportional to 402,699, 602,734.14 and 296,054.70 is: 443,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,699 : 602,734.14 = 296,054.70 : x
  2. Step 2: Convert to fraction form
    402,699/602,734.14 = 296,054.70/x
  3. Step 3: Cross multiply
    402,699x = 602,734.14 × 296,054.70
  4. Step 4: Simplify right side
    402,699x = 178,442,274,997.46
  5. Step 5: Solve for x
    x = 178,442,274,997.46/402,699
  6. Step 6: Final answer
    x = 443,115.76

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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.