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Finding the Fourth Proportional to 564,618.69, 846,749.57 and 185,477.13

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Solution

The fourth proportional to 564,618.69, 846,749.57 and 185,477.13 is: 278,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,618.69 : 846,749.57 = 185,477.13 : x
  2. Step 2: Convert to fraction form
    564,618.69/846,749.57 = 185,477.13/x
  3. Step 3: Cross multiply
    564,618.69x = 846,749.57 × 185,477.13
  4. Step 4: Simplify right side
    564,618.69x = 157,052,679,144.95
  5. Step 5: Solve for x
    x = 157,052,679,144.95/564,618.69
  6. Step 6: Final answer
    x = 278,157.07

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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.