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Finding the Fourth Proportional to 387,576.48, 580,854.42 and 207,641.06

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Solution

The fourth proportional to 387,576.48, 580,854.42 and 207,641.06 is: 311,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,576.48 : 580,854.42 = 207,641.06 : x
  2. Step 2: Convert to fraction form
    387,576.48/580,854.42 = 207,641.06/x
  3. Step 3: Cross multiply
    387,576.48x = 580,854.42 × 207,641.06
  4. Step 4: Simplify right side
    387,576.48x = 120,609,224,570.21
  5. Step 5: Solve for x
    x = 120,609,224,570.21/387,576.48
  6. Step 6: Final answer
    x = 311,188.19

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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.