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Finding the Fourth Proportional to 298,032.80, 411,254.16 and 170,713.76

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Solution

The fourth proportional to 298,032.80, 411,254.16 and 170,713.76 is: 235,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,032.80 : 411,254.16 = 170,713.76 : x
  2. Step 2: Convert to fraction form
    298,032.80/411,254.16 = 170,713.76/x
  3. Step 3: Cross multiply
    298,032.80x = 411,254.16 × 170,713.76
  4. Step 4: Simplify right side
    298,032.80x = 70,206,743,969.24
  5. Step 5: Solve for x
    x = 70,206,743,969.24/298,032.80
  6. Step 6: Final answer
    x = 235,567.17

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1.5x scale

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.