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Finding the Fourth Proportional to 232,653.95, 349,005.21 and 64,174.31

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Solution

The fourth proportional to 232,653.95, 349,005.21 and 64,174.31 is: 96,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,653.95 : 349,005.21 = 64,174.31 : x
  2. Step 2: Convert to fraction form
    232,653.95/349,005.21 = 64,174.31/x
  3. Step 3: Cross multiply
    232,653.95x = 349,005.21 × 64,174.31
  4. Step 4: Simplify right side
    232,653.95x = 22,397,167,861.24
  5. Step 5: Solve for x
    x = 22,397,167,861.24/232,653.95
  6. Step 6: Final answer
    x = 96,268.16

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1.5x scale

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.