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Finding the Fourth Proportional to 338,439.13, 507,527.47 and 180,581.47

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Solution

The fourth proportional to 338,439.13, 507,527.47 and 180,581.47 is: 270,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,439.13 : 507,527.47 = 180,581.47 : x
  2. Step 2: Convert to fraction form
    338,439.13/507,527.47 = 180,581.47/x
  3. Step 3: Cross multiply
    338,439.13x = 507,527.47 × 180,581.47
  4. Step 4: Simplify right side
    338,439.13x = 91,650,055,554.89
  5. Step 5: Solve for x
    x = 91,650,055,554.89/338,439.13
  6. Step 6: Final answer
    x = 270,802.19

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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.