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Finding the Fourth Proportional to 547,761.40, 821,642.10 and 311,565.40

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Solution

The fourth proportional to 547,761.40, 821,642.10 and 311,565.40 is: 467,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,761.40 : 821,642.10 = 311,565.40 : x
  2. Step 2: Convert to fraction form
    547,761.40/821,642.10 = 311,565.40/x
  3. Step 3: Cross multiply
    547,761.40x = 821,642.10 × 311,565.40
  4. Step 4: Simplify right side
    547,761.40x = 255,995,249,543.34
  5. Step 5: Solve for x
    x = 255,995,249,543.34/547,761.40
  6. Step 6: Final answer
    x = 467,348.10

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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.