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Finding the Fourth Proportional to 704,251.40, 971,834.10 and 432,264.20

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Solution

The fourth proportional to 704,251.40, 971,834.10 and 432,264.20 is: 596,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,251.40 : 971,834.10 = 432,264.20 : x
  2. Step 2: Convert to fraction form
    704,251.40/971,834.10 = 432,264.20/x
  3. Step 3: Cross multiply
    704,251.40x = 971,834.10 × 432,264.20
  4. Step 4: Simplify right side
    704,251.40x = 420,089,089,769.22
  5. Step 5: Solve for x
    x = 420,089,089,769.22/704,251.40
  6. Step 6: Final answer
    x = 596,504.44

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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.