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Finding the Fourth Proportional to 564,786.96, 847,154.52 and 190,813.20

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Solution

The fourth proportional to 564,786.96, 847,154.52 and 190,813.20 is: 286,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,786.96 : 847,154.52 = 190,813.20 : x
  2. Step 2: Convert to fraction form
    564,786.96/847,154.52 = 190,813.20/x
  3. Step 3: Cross multiply
    564,786.96x = 847,154.52 × 190,813.20
  4. Step 4: Simplify right side
    564,786.96x = 161,648,264,855.66
  5. Step 5: Solve for x
    x = 161,648,264,855.66/564,786.96
  6. Step 6: Final answer
    x = 286,211.04

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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.