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Finding the Fourth Proportional to 564,663.15, 846,814.91 and 185,495.87

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Solution

The fourth proportional to 564,663.15, 846,814.91 and 185,495.87 is: 278,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,663.15 : 846,814.91 = 185,495.87 : x
  2. Step 2: Convert to fraction form
    564,663.15/846,814.91 = 185,495.87/x
  3. Step 3: Cross multiply
    564,663.15x = 846,814.91 × 185,495.87
  4. Step 4: Simplify right side
    564,663.15x = 157,080,669,648.98
  5. Step 5: Solve for x
    x = 157,080,669,648.98/564,663.15
  6. Step 6: Final answer
    x = 278,184.74

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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.