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Finding the Fourth Proportional to 381,728.04, 572,588.40 and 232,009.68

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Solution

The fourth proportional to 381,728.04, 572,588.40 and 232,009.68 is: 348,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,728.04 : 572,588.40 = 232,009.68 : x
  2. Step 2: Convert to fraction form
    381,728.04/572,588.40 = 232,009.68/x
  3. Step 3: Cross multiply
    381,728.04x = 572,588.40 × 232,009.68
  4. Step 4: Simplify right side
    381,728.04x = 132,846,051,455.71
  5. Step 5: Solve for x
    x = 132,846,051,455.71/381,728.04
  6. Step 6: Final answer
    x = 348,012.30

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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.