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Finding the Fourth Proportional to 473,219.80, 710,348.10 and 263,267.80

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Solution

The fourth proportional to 473,219.80, 710,348.10 and 263,267.80 is: 395,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,219.80 : 710,348.10 = 263,267.80 : x
  2. Step 2: Convert to fraction form
    473,219.80/710,348.10 = 263,267.80/x
  3. Step 3: Cross multiply
    473,219.80x = 710,348.10 × 263,267.80
  4. Step 4: Simplify right side
    473,219.80x = 187,011,781,521.18
  5. Step 5: Solve for x
    x = 187,011,781,521.18/473,219.80
  6. Step 6: Final answer
    x = 395,190.10

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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.