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Finding the Fourth Proportional to 819,565.80, 1,230,347.10 and 520,045.80

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Solution

The fourth proportional to 819,565.80, 1,230,347.10 and 520,045.80 is: 780,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,565.80 : 1,230,347.10 = 520,045.80 : x
  2. Step 2: Convert to fraction form
    819,565.80/1,230,347.10 = 520,045.80/x
  3. Step 3: Cross multiply
    819,565.80x = 1,230,347.10 × 520,045.80
  4. Step 4: Simplify right side
    819,565.80x = 639,836,841,897.18
  5. Step 5: Solve for x
    x = 639,836,841,897.18/819,565.80
  6. Step 6: Final answer
    x = 780,702.22

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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.