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Finding the Fourth Proportional to 523,576.17, 785,320.31 and 207,948.33

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Solution

The fourth proportional to 523,576.17, 785,320.31 and 207,948.33 is: 311,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,576.17 : 785,320.31 = 207,948.33 : x
  2. Step 2: Convert to fraction form
    523,576.17/785,320.31 = 207,948.33/x
  3. Step 3: Cross multiply
    523,576.17x = 785,320.31 × 207,948.33
  4. Step 4: Simplify right side
    523,576.17x = 163,306,047,499.45
  5. Step 5: Solve for x
    x = 163,306,047,499.45/523,576.17
  6. Step 6: Final answer
    x = 311,905.04

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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.