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Finding the Fourth Proportional to 564,163.02, 846,594.45 and 506,076.30

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Solution

The fourth proportional to 564,163.02, 846,594.45 and 506,076.30 is: 759,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,163.02 : 846,594.45 = 506,076.30 : x
  2. Step 2: Convert to fraction form
    564,163.02/846,594.45 = 506,076.30/x
  3. Step 3: Cross multiply
    564,163.02x = 846,594.45 × 506,076.30
  4. Step 4: Simplify right side
    564,163.02x = 428,441,386,856.54
  5. Step 5: Solve for x
    x = 428,441,386,856.54/564,163.02
  6. Step 6: Final answer
    x = 759,428.34

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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.