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Finding the Fourth Proportional to 298,098.24, 411,373.62 and 169,061.28

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Solution

The fourth proportional to 298,098.24, 411,373.62 and 169,061.28 is: 233,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,098.24 : 411,373.62 = 169,061.28 : x
  2. Step 2: Convert to fraction form
    298,098.24/411,373.62 = 169,061.28/x
  3. Step 3: Cross multiply
    298,098.24x = 411,373.62 × 169,061.28
  4. Step 4: Simplify right side
    298,098.24x = 69,547,350,755.43
  5. Step 5: Solve for x
    x = 69,547,350,755.43/298,098.24
  6. Step 6: Final answer
    x = 233,303.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.