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Finding the Fourth Proportional to 291,952.85, 402,894.38 and 162,883.65

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Solution

The fourth proportional to 291,952.85, 402,894.38 and 162,883.65 is: 224,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,952.85 : 402,894.38 = 162,883.65 : x
  2. Step 2: Convert to fraction form
    291,952.85/402,894.38 = 162,883.65/x
  3. Step 3: Cross multiply
    291,952.85x = 402,894.38 × 162,883.65
  4. Step 4: Simplify right side
    291,952.85x = 65,624,907,182.53
  5. Step 5: Solve for x
    x = 65,624,907,182.53/291,952.85
  6. Step 6: Final answer
    x = 224,779.12

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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.