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Finding the Fourth Proportional to 497,364.76, 686,341.92 and 282,504.16

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Solution

The fourth proportional to 497,364.76, 686,341.92 and 282,504.16 is: 389,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,364.76 : 686,341.92 = 282,504.16 : x
  2. Step 2: Convert to fraction form
    497,364.76/686,341.92 = 282,504.16/x
  3. Step 3: Cross multiply
    497,364.76x = 686,341.92 × 282,504.16
  4. Step 4: Simplify right side
    497,364.76x = 193,894,447,582.39
  5. Step 5: Solve for x
    x = 193,894,447,582.39/497,364.76
  6. Step 6: Final answer
    x = 389,843.56

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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.