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Finding the Fourth Proportional to 506,443.16, 698,879.60 and 280,083.80

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Solution

The fourth proportional to 506,443.16, 698,879.60 and 280,083.80 is: 386,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,443.16 : 698,879.60 = 280,083.80 : x
  2. Step 2: Convert to fraction form
    506,443.16/698,879.60 = 280,083.80/x
  3. Step 3: Cross multiply
    506,443.16x = 698,879.60 × 280,083.80
  4. Step 4: Simplify right side
    506,443.16x = 195,744,854,110.48
  5. Step 5: Solve for x
    x = 195,744,854,110.48/506,443.16
  6. Step 6: Final answer
    x = 386,509.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.