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Finding the Fourth Proportional to 547,801.10, 821,701.65 and 463,820.30

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Solution

The fourth proportional to 547,801.10, 821,701.65 and 463,820.30 is: 695,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,801.10 : 821,701.65 = 463,820.30 : x
  2. Step 2: Convert to fraction form
    547,801.10/821,701.65 = 463,820.30/x
  3. Step 3: Cross multiply
    547,801.10x = 821,701.65 × 463,820.30
  4. Step 4: Simplify right side
    547,801.10x = 381,121,905,813.50
  5. Step 5: Solve for x
    x = 381,121,905,813.50/547,801.10
  6. Step 6: Final answer
    x = 695,730.45

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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.