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Finding the Fourth Proportional to 530,391.96, 795,590.10 and 214,854.84

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Solution

The fourth proportional to 530,391.96, 795,590.10 and 214,854.84 is: 322,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,391.96 : 795,590.10 = 214,854.84 : x
  2. Step 2: Convert to fraction form
    530,391.96/795,590.10 = 214,854.84/x
  3. Step 3: Cross multiply
    530,391.96x = 795,590.10 × 214,854.84
  4. Step 4: Simplify right side
    530,391.96x = 170,936,383,641.08
  5. Step 5: Solve for x
    x = 170,936,383,641.08/530,391.96
  6. Step 6: Final answer
    x = 322,283.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.