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Finding the Fourth Proportional to 692,951.40, 971,998.20 and 692,951.40

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Solution

The fourth proportional to 692,951.40, 971,998.20 and 692,951.40 is: 971,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,951.40 : 971,998.20 = 692,951.40 : x
  2. Step 2: Convert to fraction form
    692,951.40/971,998.20 = 692,951.40/x
  3. Step 3: Cross multiply
    692,951.40x = 971,998.20 × 692,951.40
  4. Step 4: Simplify right side
    692,951.40x = 673,547,513,487.48
  5. Step 5: Solve for x
    x = 673,547,513,487.48/692,951.40
  6. Step 6: Final answer
    x = 971,998.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.