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Finding the Fourth Proportional to 298,601.10, 447,901.65 and 260,109.90

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Solution

The fourth proportional to 298,601.10, 447,901.65 and 260,109.90 is: 390,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,601.10 : 447,901.65 = 260,109.90 : x
  2. Step 2: Convert to fraction form
    298,601.10/447,901.65 = 260,109.90/x
  3. Step 3: Cross multiply
    298,601.10x = 447,901.65 × 260,109.90
  4. Step 4: Simplify right side
    298,601.10x = 116,503,653,391.34
  5. Step 5: Solve for x
    x = 116,503,653,391.34/298,601.10
  6. Step 6: Final answer
    x = 390,164.85

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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.