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Finding the Fourth Proportional to 704,830, 972,297.84 and 432,959.14

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Solution

The fourth proportional to 704,830, 972,297.84 and 432,959.14 is: 597,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,830 : 972,297.84 = 432,959.14 : x
  2. Step 2: Convert to fraction form
    704,830/972,297.84 = 432,959.14/x
  3. Step 3: Cross multiply
    704,830x = 972,297.84 × 432,959.14
  4. Step 4: Simplify right side
    704,830x = 420,965,236,630.26
  5. Step 5: Solve for x
    x = 420,965,236,630.26/704,830
  6. Step 6: Final answer
    x = 597,257.83

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1.5x scale

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.