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Finding the Fourth Proportional to 384,633.60, 576,777.60 and 147,897.60

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Solution

The fourth proportional to 384,633.60, 576,777.60 and 147,897.60 is: 221,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,633.60 : 576,777.60 = 147,897.60 : x
  2. Step 2: Convert to fraction form
    384,633.60/576,777.60 = 147,897.60/x
  3. Step 3: Cross multiply
    384,633.60x = 576,777.60 × 147,897.60
  4. Step 4: Simplify right side
    384,633.60x = 85,304,022,773.76
  5. Step 5: Solve for x
    x = 85,304,022,773.76/384,633.60
  6. Step 6: Final answer
    x = 221,779.96

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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.