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Finding the Fourth Proportional to 233,426.64, 322,033.38 and 172,319.10

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Solution

The fourth proportional to 233,426.64, 322,033.38 and 172,319.10 is: 237,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,426.64 : 322,033.38 = 172,319.10 : x
  2. Step 2: Convert to fraction form
    233,426.64/322,033.38 = 172,319.10/x
  3. Step 3: Cross multiply
    233,426.64x = 322,033.38 × 172,319.10
  4. Step 4: Simplify right side
    233,426.64x = 55,492,502,211.56
  5. Step 5: Solve for x
    x = 55,492,502,211.56/233,426.64
  6. Step 6: Final answer
    x = 237,729.94

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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.