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Finding the Fourth Proportional to 233,258.40, 349,304.40 and 153,943.20

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Solution

The fourth proportional to 233,258.40, 349,304.40 and 153,943.20 is: 230,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,258.40 : 349,304.40 = 153,943.20 : x
  2. Step 2: Convert to fraction form
    233,258.40/349,304.40 = 153,943.20/x
  3. Step 3: Cross multiply
    233,258.40x = 349,304.40 × 153,943.20
  4. Step 4: Simplify right side
    233,258.40x = 53,773,037,110.08
  5. Step 5: Solve for x
    x = 53,773,037,110.08/233,258.40
  6. Step 6: Final answer
    x = 230,529.91

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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.