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Finding the Fourth Proportional to 464,082.78, 694,746.12 and 253,081.02

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Solution

The fourth proportional to 464,082.78, 694,746.12 and 253,081.02 is: 378,870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,082.78 : 694,746.12 = 253,081.02 : x
  2. Step 2: Convert to fraction form
    464,082.78/694,746.12 = 253,081.02/x
  3. Step 3: Cross multiply
    464,082.78x = 694,746.12 × 253,081.02
  4. Step 4: Simplify right side
    464,082.78x = 175,827,056,690.64
  5. Step 5: Solve for x
    x = 175,827,056,690.64/464,082.78
  6. Step 6: Final answer
    x = 378,870.03

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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.