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Finding the Fourth Proportional to 564,605.92, 846,888.72 and 143,878.24

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Solution

The fourth proportional to 564,605.92, 846,888.72 and 143,878.24 is: 215,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,605.92 : 846,888.72 = 143,878.24 : x
  2. Step 2: Convert to fraction form
    564,605.92/846,888.72 = 143,878.24/x
  3. Step 3: Cross multiply
    564,605.92x = 846,888.72 × 143,878.24
  4. Step 4: Simplify right side
    564,605.92x = 121,848,858,509.45
  5. Step 5: Solve for x
    x = 121,848,858,509.45/564,605.92
  6. Step 6: Final answer
    x = 215,812.22

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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.