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Finding the Fourth Proportional to 296,521.40, 409,228.88 and 169,216.13

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Solution

The fourth proportional to 296,521.40, 409,228.88 and 169,216.13 is: 233,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,521.40 : 409,228.88 = 169,216.13 : x
  2. Step 2: Convert to fraction form
    296,521.40/409,228.88 = 169,216.13/x
  3. Step 3: Cross multiply
    296,521.40x = 409,228.88 × 169,216.13
  4. Step 4: Simplify right side
    296,521.40x = 69,248,127,534.83
  5. Step 5: Solve for x
    x = 69,248,127,534.83/296,521.40
  6. Step 6: Final answer
    x = 233,535.01

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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.