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Finding the Fourth Proportional to 458,909.24, 633,074.01 and 297,814.82

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Solution

The fourth proportional to 458,909.24, 633,074.01 and 297,814.82 is: 410,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,909.24 : 633,074.01 = 297,814.82 : x
  2. Step 2: Convert to fraction form
    458,909.24/633,074.01 = 297,814.82/x
  3. Step 3: Cross multiply
    458,909.24x = 633,074.01 × 297,814.82
  4. Step 4: Simplify right side
    458,909.24x = 188,538,822,334.83
  5. Step 5: Solve for x
    x = 188,538,822,334.83/458,909.24
  6. Step 6: Final answer
    x = 410,841.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.