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Finding the Fourth Proportional to 403,816.50, 557,278.38 and 224,980.02

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Solution

The fourth proportional to 403,816.50, 557,278.38 and 224,980.02 is: 310,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,816.50 : 557,278.38 = 224,980.02 : x
  2. Step 2: Convert to fraction form
    403,816.50/557,278.38 = 224,980.02/x
  3. Step 3: Cross multiply
    403,816.50x = 557,278.38 × 224,980.02
  4. Step 4: Simplify right side
    403,816.50x = 125,376,501,077.97
  5. Step 5: Solve for x
    x = 125,376,501,077.97/403,816.50
  6. Step 6: Final answer
    x = 310,478.90

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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.