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Finding the Fourth Proportional to 402,675.60, 602,699.06 and 296,031.30

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Solution

The fourth proportional to 402,675.60, 602,699.06 and 296,031.30 is: 443,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,675.60 : 602,699.06 = 296,031.30 : x
  2. Step 2: Convert to fraction form
    402,675.60/602,699.06 = 296,031.30/x
  3. Step 3: Cross multiply
    402,675.60x = 602,699.06 × 296,031.30
  4. Step 4: Simplify right side
    402,675.60x = 178,417,786,240.58
  5. Step 5: Solve for x
    x = 178,417,786,240.58/402,675.60
  6. Step 6: Final answer
    x = 443,080.70

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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.