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Finding the Fourth Proportional to 252,448.98, 378,946.44 and 224,547.72

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Solution

The fourth proportional to 252,448.98, 378,946.44 and 224,547.72 is: 337,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,448.98 : 378,946.44 = 224,547.72 : x
  2. Step 2: Convert to fraction form
    252,448.98/378,946.44 = 224,547.72/x
  3. Step 3: Cross multiply
    252,448.98x = 378,946.44 × 224,547.72
  4. Step 4: Simplify right side
    252,448.98x = 85,091,559,104.12
  5. Step 5: Solve for x
    x = 85,091,559,104.12/252,448.98
  6. Step 6: Final answer
    x = 337,064.38

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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.