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Finding the Fourth Proportional to 306,264.44, 422,678.59 and 175,454.51

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Solution

The fourth proportional to 306,264.44, 422,678.59 and 175,454.51 is: 242,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,264.44 : 422,678.59 = 175,454.51 : x
  2. Step 2: Convert to fraction form
    306,264.44/422,678.59 = 175,454.51/x
  3. Step 3: Cross multiply
    306,264.44x = 422,678.59 × 175,454.51
  4. Step 4: Simplify right side
    306,264.44x = 74,160,862,343.91
  5. Step 5: Solve for x
    x = 74,160,862,343.91/306,264.44
  6. Step 6: Final answer
    x = 242,146.50

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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.