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Finding the Fourth Proportional to 298,302.84, 447,389.46 and 98,575.92

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Solution

The fourth proportional to 298,302.84, 447,389.46 and 98,575.92 is: 147,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,302.84 : 447,389.46 = 98,575.92 : x
  2. Step 2: Convert to fraction form
    298,302.84/447,389.46 = 98,575.92/x
  3. Step 3: Cross multiply
    298,302.84x = 447,389.46 × 98,575.92
  4. Step 4: Simplify right side
    298,302.84x = 44,101,827,617.80
  5. Step 5: Solve for x
    x = 44,101,827,617.80/298,302.84
  6. Step 6: Final answer
    x = 147,842.47

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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.