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Finding the Fourth Proportional to 496,862.16, 745,029 and 364,066.80

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Solution

The fourth proportional to 496,862.16, 745,029 and 364,066.80 is: 545,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,862.16 : 745,029 = 364,066.80 : x
  2. Step 2: Convert to fraction form
    496,862.16/745,029 = 364,066.80/x
  3. Step 3: Cross multiply
    496,862.16x = 745,029 × 364,066.80
  4. Step 4: Simplify right side
    496,862.16x = 271,240,323,937.20
  5. Step 5: Solve for x
    x = 271,240,323,937.20/496,862.16
  6. Step 6: Final answer
    x = 545,906.58

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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.