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Finding the Fourth Proportional to 314,264.32, 433,694.55 and 178,304.00

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Solution

The fourth proportional to 314,264.32, 433,694.55 and 178,304.00 is: 246,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,264.32 : 433,694.55 = 178,304.00 : x
  2. Step 2: Convert to fraction form
    314,264.32/433,694.55 = 178,304.00/x
  3. Step 3: Cross multiply
    314,264.32x = 433,694.55 × 178,304.00
  4. Step 4: Simplify right side
    314,264.32x = 77,329,473,982.90
  5. Step 5: Solve for x
    x = 77,329,473,982.90/314,264.32
  6. Step 6: Final answer
    x = 246,065.07

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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.