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Finding the Fourth Proportional to 233,304.32, 349,631.14 and 176,331.45

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Solution

The fourth proportional to 233,304.32, 349,631.14 and 176,331.45 is: 264,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,304.32 : 349,631.14 = 176,331.45 : x
  2. Step 2: Convert to fraction form
    233,304.32/349,631.14 = 176,331.45/x
  3. Step 3: Cross multiply
    233,304.32x = 349,631.14 × 176,331.45
  4. Step 4: Simplify right side
    233,304.32x = 61,650,965,881.35
  5. Step 5: Solve for x
    x = 61,650,965,881.35/233,304.32
  6. Step 6: Final answer
    x = 264,251.28

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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.