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Finding the Fourth Proportional to 686,569.40, 1,029,854.10 and 686,569.40

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Solution

The fourth proportional to 686,569.40, 1,029,854.10 and 686,569.40 is: 1,029,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,569.40 : 1,029,854.10 = 686,569.40 : x
  2. Step 2: Convert to fraction form
    686,569.40/1,029,854.10 = 686,569.40/x
  3. Step 3: Cross multiply
    686,569.40x = 1,029,854.10 × 686,569.40
  4. Step 4: Simplify right side
    686,569.40x = 707,066,311,524.54
  5. Step 5: Solve for x
    x = 707,066,311,524.54/686,569.40
  6. Step 6: Final answer
    x = 1,029,854.10

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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.