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Finding the Fourth Proportional to 823,854.40, 1,235,781.60 and 785,363.20

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Solution

The fourth proportional to 823,854.40, 1,235,781.60 and 785,363.20 is: 1,178,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,854.40 : 1,235,781.60 = 785,363.20 : x
  2. Step 2: Convert to fraction form
    823,854.40/1,235,781.60 = 785,363.20/x
  3. Step 3: Cross multiply
    823,854.40x = 1,235,781.60 × 785,363.20
  4. Step 4: Simplify right side
    823,854.40x = 970,537,391,877.12
  5. Step 5: Solve for x
    x = 970,537,391,877.12/823,854.40
  6. Step 6: Final answer
    x = 1,178,044.80

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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.