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Finding the Fourth Proportional to 564,543.48, 846,636.84 and 185,401.74

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Solution

The fourth proportional to 564,543.48, 846,636.84 and 185,401.74 is: 278,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,543.48 : 846,636.84 = 185,401.74 : x
  2. Step 2: Convert to fraction form
    564,543.48/846,636.84 = 185,401.74/x
  3. Step 3: Cross multiply
    564,543.48x = 846,636.84 × 185,401.74
  4. Step 4: Simplify right side
    564,543.48x = 156,967,943,284.10
  5. Step 5: Solve for x
    x = 156,967,943,284.10/564,543.48
  6. Step 6: Final answer
    x = 278,044.03

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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.