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Finding the Fourth Proportional to 414,070.95, 571,404.62 and 232,790.49

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Solution

The fourth proportional to 414,070.95, 571,404.62 and 232,790.49 is: 321,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,070.95 : 571,404.62 = 232,790.49 : x
  2. Step 2: Convert to fraction form
    414,070.95/571,404.62 = 232,790.49/x
  3. Step 3: Cross multiply
    414,070.95x = 571,404.62 × 232,790.49
  4. Step 4: Simplify right side
    414,070.95x = 133,017,560,314.11
  5. Step 5: Solve for x
    x = 133,017,560,314.11/414,070.95
  6. Step 6: Final answer
    x = 321,243.40

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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.