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Finding the Fourth Proportional to 458,866.85, 633,294.65 and 277,580.08

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Solution

The fourth proportional to 458,866.85, 633,294.65 and 277,580.08 is: 383,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866.85 : 633,294.65 = 277,580.08 : x
  2. Step 2: Convert to fraction form
    458,866.85/633,294.65 = 277,580.08/x
  3. Step 3: Cross multiply
    458,866.85x = 633,294.65 × 277,580.08
  4. Step 4: Simplify right side
    458,866.85x = 175,789,978,222.67
  5. Step 5: Solve for x
    x = 175,789,978,222.67/458,866.85
  6. Step 6: Final answer
    x = 383,095.83

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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.