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Finding the Fourth Proportional to 298,159.59, 411,471.06 and 170,859.81

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Solution

The fourth proportional to 298,159.59, 411,471.06 and 170,859.81 is: 235,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,159.59 : 411,471.06 = 170,859.81 : x
  2. Step 2: Convert to fraction form
    298,159.59/411,471.06 = 170,859.81/x
  3. Step 3: Cross multiply
    298,159.59x = 411,471.06 × 170,859.81
  4. Step 4: Simplify right side
    298,159.59x = 70,303,867,132.10
  5. Step 5: Solve for x
    x = 70,303,867,132.10/298,159.59
  6. Step 6: Final answer
    x = 235,792.74

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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.