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Finding the Fourth Proportional to 414,788.70, 572,425.74 and 233,500.98

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Solution

The fourth proportional to 414,788.70, 572,425.74 and 233,500.98 is: 322,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,788.70 : 572,425.74 = 233,500.98 : x
  2. Step 2: Convert to fraction form
    414,788.70/572,425.74 = 233,500.98/x
  3. Step 3: Cross multiply
    414,788.70x = 572,425.74 × 233,500.98
  4. Step 4: Simplify right side
    414,788.70x = 133,661,971,267.23
  5. Step 5: Solve for x
    x = 133,661,971,267.23/414,788.70
  6. Step 6: Final answer
    x = 322,241.11

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1.5x scale

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.