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Finding the Fourth Proportional to 296,763.48, 444,678.30 and 229,459.90

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Solution

The fourth proportional to 296,763.48, 444,678.30 and 229,459.90 is: 343,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,763.48 : 444,678.30 = 229,459.90 : x
  2. Step 2: Convert to fraction form
    296,763.48/444,678.30 = 229,459.90/x
  3. Step 3: Cross multiply
    296,763.48x = 444,678.30 × 229,459.90
  4. Step 4: Simplify right side
    296,763.48x = 102,035,838,250.17
  5. Step 5: Solve for x
    x = 102,035,838,250.17/296,763.48
  6. Step 6: Final answer
    x = 343,828.82

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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.