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Finding the Fourth Proportional to 458,909.74, 633,074.70 and 297,815.32

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Solution

The fourth proportional to 458,909.74, 633,074.70 and 297,815.32 is: 410,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,909.74 : 633,074.70 = 297,815.32 : x
  2. Step 2: Convert to fraction form
    458,909.74/633,074.70 = 297,815.32/x
  3. Step 3: Cross multiply
    458,909.74x = 633,074.70 × 297,815.32
  4. Step 4: Simplify right side
    458,909.74x = 188,539,344,364.40
  5. Step 5: Solve for x
    x = 188,539,344,364.40/458,909.74
  6. Step 6: Final answer
    x = 410,841.89

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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.