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Finding the Fourth Proportional to 438,576.30, 657,864.45 and 438,576.30

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Solution

The fourth proportional to 438,576.30, 657,864.45 and 438,576.30 is: 657,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,576.30 : 657,864.45 = 438,576.30 : x
  2. Step 2: Convert to fraction form
    438,576.30/657,864.45 = 438,576.30/x
  3. Step 3: Cross multiply
    438,576.30x = 657,864.45 × 438,576.30
  4. Step 4: Simplify right side
    438,576.30x = 288,523,756,382.54
  5. Step 5: Solve for x
    x = 288,523,756,382.54/438,576.30
  6. Step 6: Final answer
    x = 657,864.45

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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.