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Finding the Fourth Proportional to 511,945.92, 706,484.84 and 282,503.14

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Solution

The fourth proportional to 511,945.92, 706,484.84 and 282,503.14 is: 389,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,945.92 : 706,484.84 = 282,503.14 : x
  2. Step 2: Convert to fraction form
    511,945.92/706,484.84 = 282,503.14/x
  3. Step 3: Cross multiply
    511,945.92x = 706,484.84 × 282,503.14
  4. Step 4: Simplify right side
    511,945.92x = 199,584,186,457.65
  5. Step 5: Solve for x
    x = 199,584,186,457.65/511,945.92
  6. Step 6: Final answer
    x = 389,854.04

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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.