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Finding the Fourth Proportional to 403,815.30, 605,722.95 and 277,844.10

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Solution

The fourth proportional to 403,815.30, 605,722.95 and 277,844.10 is: 416,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,815.30 : 605,722.95 = 277,844.10 : x
  2. Step 2: Convert to fraction form
    403,815.30/605,722.95 = 277,844.10/x
  3. Step 3: Cross multiply
    403,815.30x = 605,722.95 × 277,844.10
  4. Step 4: Simplify right side
    403,815.30x = 168,296,547,892.10
  5. Step 5: Solve for x
    x = 168,296,547,892.10/403,815.30
  6. Step 6: Final answer
    x = 416,766.15

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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.