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Finding the Fourth Proportional to 298,461.90, 411,892.62 and 169,409.46

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Solution

The fourth proportional to 298,461.90, 411,892.62 and 169,409.46 is: 233,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,461.90 : 411,892.62 = 169,409.46 : x
  2. Step 2: Convert to fraction form
    298,461.90/411,892.62 = 169,409.46/x
  3. Step 3: Cross multiply
    298,461.90x = 411,892.62 × 169,409.46
  4. Step 4: Simplify right side
    298,461.90x = 69,778,506,332.19
  5. Step 5: Solve for x
    x = 69,778,506,332.19/298,461.90
  6. Step 6: Final answer
    x = 233,793.68

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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.