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Finding the Fourth Proportional to 268,658.40, 403,862.40 and 190,315.20

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Solution

The fourth proportional to 268,658.40, 403,862.40 and 190,315.20 is: 286,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,658.40 : 403,862.40 = 190,315.20 : x
  2. Step 2: Convert to fraction form
    268,658.40/403,862.40 = 190,315.20/x
  3. Step 3: Cross multiply
    268,658.40x = 403,862.40 × 190,315.20
  4. Step 4: Simplify right side
    268,658.40x = 76,861,153,428.48
  5. Step 5: Solve for x
    x = 76,861,153,428.48/268,658.40
  6. Step 6: Final answer
    x = 286,092.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.