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Finding the Fourth Proportional to 465,955.74, 698,490.68 and 297,001.76

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Solution

The fourth proportional to 465,955.74, 698,490.68 and 297,001.76 is: 445,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,955.74 : 698,490.68 = 297,001.76 : x
  2. Step 2: Convert to fraction form
    465,955.74/698,490.68 = 297,001.76/x
  3. Step 3: Cross multiply
    465,955.74x = 698,490.68 × 297,001.76
  4. Step 4: Simplify right side
    465,955.74x = 207,452,956,326.14
  5. Step 5: Solve for x
    x = 207,452,956,326.14/465,955.74
  6. Step 6: Final answer
    x = 445,220.30

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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.