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Finding the Fourth Proportional to 298,270.24, 447,475.42 and 98,590.63

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Solution

The fourth proportional to 298,270.24, 447,475.42 and 98,590.63 is: 147,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,270.24 : 447,475.42 = 98,590.63 : x
  2. Step 2: Convert to fraction form
    298,270.24/447,475.42 = 98,590.63/x
  3. Step 3: Cross multiply
    298,270.24x = 447,475.42 × 98,590.63
  4. Step 4: Simplify right side
    298,270.24x = 44,116,883,567.31
  5. Step 5: Solve for x
    x = 44,116,883,567.31/298,270.24
  6. Step 6: Final answer
    x = 147,909.10

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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.