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Finding the Fourth Proportional to 458,653.05, 633,240.98 and 297,966.06

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Solution

The fourth proportional to 458,653.05, 633,240.98 and 297,966.06 is: 411,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,653.05 : 633,240.98 = 297,966.06 : x
  2. Step 2: Convert to fraction form
    458,653.05/633,240.98 = 297,966.06/x
  3. Step 3: Cross multiply
    458,653.05x = 633,240.98 × 297,966.06
  4. Step 4: Simplify right side
    458,653.05x = 188,684,318,351.31
  5. Step 5: Solve for x
    x = 188,684,318,351.31/458,653.05
  6. Step 6: Final answer
    x = 411,387.91

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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.