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Finding the Fourth Proportional to 971,309.80, 1,456,964.70 and 593,396.20

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Solution

The fourth proportional to 971,309.80, 1,456,964.70 and 593,396.20 is: 890,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,309.80 : 1,456,964.70 = 593,396.20 : x
  2. Step 2: Convert to fraction form
    971,309.80/1,456,964.70 = 593,396.20/x
  3. Step 3: Cross multiply
    971,309.80x = 1,456,964.70 × 593,396.20
  4. Step 4: Simplify right side
    971,309.80x = 864,557,316,514.14
  5. Step 5: Solve for x
    x = 864,557,316,514.14/971,309.80
  6. Step 6: Final answer
    x = 890,094.30

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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.