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Finding the Fourth Proportional to 564,884.98, 847,326.74 and 144,160.86

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Solution

The fourth proportional to 564,884.98, 847,326.74 and 144,160.86 is: 216,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,884.98 : 847,326.74 = 144,160.86 : x
  2. Step 2: Convert to fraction form
    564,884.98/847,326.74 = 144,160.86/x
  3. Step 3: Cross multiply
    564,884.98x = 847,326.74 × 144,160.86
  4. Step 4: Simplify right side
    564,884.98x = 122,151,351,539.40
  5. Step 5: Solve for x
    x = 122,151,351,539.40/564,884.98
  6. Step 6: Final answer
    x = 216,241.10

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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.