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Finding the Fourth Proportional to 339,878.49, 469,055.24 and 224,959.13

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Solution

The fourth proportional to 339,878.49, 469,055.24 and 224,959.13 is: 310,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,878.49 : 469,055.24 = 224,959.13 : x
  2. Step 2: Convert to fraction form
    339,878.49/469,055.24 = 224,959.13/x
  3. Step 3: Cross multiply
    339,878.49x = 469,055.24 × 224,959.13
  4. Step 4: Simplify right side
    339,878.49x = 105,518,258,712.34
  5. Step 5: Solve for x
    x = 105,518,258,712.34/339,878.49
  6. Step 6: Final answer
    x = 310,458.77

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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.