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Finding the Fourth Proportional to 564,885.60, 846,745.20 and 406,566.24

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Solution

The fourth proportional to 564,885.60, 846,745.20 and 406,566.24 is: 609,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,885.60 : 846,745.20 = 406,566.24 : x
  2. Step 2: Convert to fraction form
    564,885.60/846,745.20 = 406,566.24/x
  3. Step 3: Cross multiply
    564,885.60x = 846,745.20 × 406,566.24
  4. Step 4: Simplify right side
    564,885.60x = 344,258,012,202.05
  5. Step 5: Solve for x
    x = 344,258,012,202.05/564,885.60
  6. Step 6: Final answer
    x = 609,429.61

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1.5x scale

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.