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Finding the Fourth Proportional to 546,963.20, 820,444.80 and 534,675.20

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Solution

The fourth proportional to 546,963.20, 820,444.80 and 534,675.20 is: 802,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,963.20 : 820,444.80 = 534,675.20 : x
  2. Step 2: Convert to fraction form
    546,963.20/820,444.80 = 534,675.20/x
  3. Step 3: Cross multiply
    546,963.20x = 820,444.80 × 534,675.20
  4. Step 4: Simplify right side
    546,963.20x = 438,671,487,528.96
  5. Step 5: Solve for x
    x = 438,671,487,528.96/546,963.20
  6. Step 6: Final answer
    x = 802,012.80

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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.