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Finding the Fourth Proportional to 546,768.70, 820,153.05 and 471,973.30

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Solution

The fourth proportional to 546,768.70, 820,153.05 and 471,973.30 is: 707,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,768.70 : 820,153.05 = 471,973.30 : x
  2. Step 2: Convert to fraction form
    546,768.70/820,153.05 = 471,973.30/x
  3. Step 3: Cross multiply
    546,768.70x = 820,153.05 × 471,973.30
  4. Step 4: Simplify right side
    546,768.70x = 387,090,341,513.57
  5. Step 5: Solve for x
    x = 387,090,341,513.57/546,768.70
  6. Step 6: Final answer
    x = 707,959.95

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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.