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Finding the Fourth Proportional to 547,710.30, 821,565.45 and 547,710.30

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Solution

The fourth proportional to 547,710.30, 821,565.45 and 547,710.30 is: 821,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,710.30 : 821,565.45 = 547,710.30 : x
  2. Step 2: Convert to fraction form
    547,710.30/821,565.45 = 547,710.30/x
  3. Step 3: Cross multiply
    547,710.30x = 821,565.45 × 547,710.30
  4. Step 4: Simplify right side
    547,710.30x = 449,979,859,089.14
  5. Step 5: Solve for x
    x = 449,979,859,089.14/547,710.30
  6. Step 6: Final answer
    x = 821,565.45

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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.