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Finding the Fourth Proportional to 465,959.12, 698,495.76 and 297,005.18

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Solution

The fourth proportional to 465,959.12, 698,495.76 and 297,005.18 is: 445,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,959.12 : 698,495.76 = 297,005.18 : x
  2. Step 2: Convert to fraction form
    465,959.12/698,495.76 = 297,005.18/x
  3. Step 3: Cross multiply
    465,959.12x = 698,495.76 × 297,005.18
  4. Step 4: Simplify right side
    465,959.12x = 207,456,855,435.56
  5. Step 5: Solve for x
    x = 207,456,855,435.56/465,959.12
  6. Step 6: Final answer
    x = 445,225.45

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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.