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Finding the Fourth Proportional to 564,810.80, 847,216.20 and 423,093.20

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Solution

The fourth proportional to 564,810.80, 847,216.20 and 423,093.20 is: 634,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,810.80 : 847,216.20 = 423,093.20 : x
  2. Step 2: Convert to fraction form
    564,810.80/847,216.20 = 423,093.20/x
  3. Step 3: Cross multiply
    564,810.80x = 847,216.20 × 423,093.20
  4. Step 4: Simplify right side
    564,810.80x = 358,451,413,149.84
  5. Step 5: Solve for x
    x = 358,451,413,149.84/564,810.80
  6. Step 6: Final answer
    x = 634,639.80

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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.