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Finding the Fourth Proportional to 380,527.92, 525,132.38 and 229,595.76

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Solution

The fourth proportional to 380,527.92, 525,132.38 and 229,595.76 is: 316,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,527.92 : 525,132.38 = 229,595.76 : x
  2. Step 2: Convert to fraction form
    380,527.92/525,132.38 = 229,595.76/x
  3. Step 3: Cross multiply
    380,527.92x = 525,132.38 × 229,595.76
  4. Step 4: Simplify right side
    380,527.92x = 120,568,167,886.71
  5. Step 5: Solve for x
    x = 120,568,167,886.71/380,527.92
  6. Step 6: Final answer
    x = 316,844.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.