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Finding the Fourth Proportional to 359,552.10, 538,814.13 and 264,032.85

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Solution

The fourth proportional to 359,552.10, 538,814.13 and 264,032.85 is: 395,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,552.10 : 538,814.13 = 264,032.85 : x
  2. Step 2: Convert to fraction form
    359,552.10/538,814.13 = 264,032.85/x
  3. Step 3: Cross multiply
    359,552.10x = 538,814.13 × 264,032.85
  4. Step 4: Simplify right side
    359,552.10x = 142,264,630,364.17
  5. Step 5: Solve for x
    x = 142,264,630,364.17/359,552.10
  6. Step 6: Final answer
    x = 395,671.81

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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.