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Finding the Fourth Proportional to 1,712,823.84, 2,363,524.92 and 948,734.64

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Solution

The fourth proportional to 1,712,823.84, 2,363,524.92 and 948,734.64 is: 1,309,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712,823.84 : 2,363,524.92 = 948,734.64 : x
  2. Step 2: Convert to fraction form
    1,712,823.84/2,363,524.92 = 948,734.64/x
  3. Step 3: Cross multiply
    1,712,823.84x = 2,363,524.92 × 948,734.64
  4. Step 4: Simplify right side
    1,712,823.84x = 2,242,357,964,107.23
  5. Step 5: Solve for x
    x = 2,242,357,964,107.23/1,712,823.84
  6. Step 6: Final answer
    x = 1,309,158.54

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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.