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Finding the Fourth Proportional to 298,154.30, 411,463.92 and 170,854.50

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Solution

The fourth proportional to 298,154.30, 411,463.92 and 170,854.50 is: 235,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,154.30 : 411,463.92 = 170,854.50 : x
  2. Step 2: Convert to fraction form
    298,154.30/411,463.92 = 170,854.50/x
  3. Step 3: Cross multiply
    298,154.30x = 411,463.92 × 170,854.50
  4. Step 4: Simplify right side
    298,154.30x = 70,300,462,319.64
  5. Step 5: Solve for x
    x = 70,300,462,319.64/298,154.30
  6. Step 6: Final answer
    x = 235,785.51

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