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Finding the Fourth Proportional to 333,959.76, 500,949.36 and 97,297.20

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Solution

The fourth proportional to 333,959.76, 500,949.36 and 97,297.20 is: 145,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,959.76 : 500,949.36 = 97,297.20 : x
  2. Step 2: Convert to fraction form
    333,959.76/500,949.36 = 97,297.20/x
  3. Step 3: Cross multiply
    333,959.76x = 500,949.36 × 97,297.20
  4. Step 4: Simplify right side
    333,959.76x = 48,740,970,069.79
  5. Step 5: Solve for x
    x = 48,740,970,069.79/333,959.76
  6. Step 6: Final answer
    x = 145,948.63

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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.