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Finding the Fourth Proportional to 302,881.60, 454,322.40 and 232,022.80

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Solution

The fourth proportional to 302,881.60, 454,322.40 and 232,022.80 is: 348,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,881.60 : 454,322.40 = 232,022.80 : x
  2. Step 2: Convert to fraction form
    302,881.60/454,322.40 = 232,022.80/x
  3. Step 3: Cross multiply
    302,881.60x = 454,322.40 × 232,022.80
  4. Step 4: Simplify right side
    302,881.60x = 105,413,155,350.72
  5. Step 5: Solve for x
    x = 105,413,155,350.72/302,881.60
  6. Step 6: Final answer
    x = 348,034.20

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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.