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Finding the Fourth Proportional to 497,754.80, 746,632.20 and 438,657.20

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Solution

The fourth proportional to 497,754.80, 746,632.20 and 438,657.20 is: 657,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,754.80 : 746,632.20 = 438,657.20 : x
  2. Step 2: Convert to fraction form
    497,754.80/746,632.20 = 438,657.20/x
  3. Step 3: Cross multiply
    497,754.80x = 746,632.20 × 438,657.20
  4. Step 4: Simplify right side
    497,754.80x = 327,515,590,281.84
  5. Step 5: Solve for x
    x = 327,515,590,281.84/497,754.80
  6. Step 6: Final answer
    x = 657,985.80

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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.