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Finding the Fourth Proportional to 704,335.75, 971,976.44 and 382,041.20

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Solution

The fourth proportional to 704,335.75, 971,976.44 and 382,041.20 is: 527,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,335.75 : 971,976.44 = 382,041.20 : x
  2. Step 2: Convert to fraction form
    704,335.75/971,976.44 = 382,041.20/x
  3. Step 3: Cross multiply
    704,335.75x = 971,976.44 × 382,041.20
  4. Step 4: Simplify right side
    704,335.75x = 371,335,048,894.37
  5. Step 5: Solve for x
    x = 371,335,048,894.37/704,335.75
  6. Step 6: Final answer
    x = 527,213.12

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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.