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Finding the Fourth Proportional to 796,617, 1,195,967.18 and 472,995.78

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Solution

The fourth proportional to 796,617, 1,195,967.18 and 472,995.78 is: 710,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,617 : 1,195,967.18 = 472,995.78 : x
  2. Step 2: Convert to fraction form
    796,617/1,195,967.18 = 472,995.78/x
  3. Step 3: Cross multiply
    796,617x = 1,195,967.18 × 472,995.78
  4. Step 4: Simplify right side
    796,617x = 565,687,429,158.50
  5. Step 5: Solve for x
    x = 565,687,429,158.50/796,617
  6. Step 6: Final answer
    x = 710,112.17

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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.