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Finding the Fourth Proportional to 375,333.50, 517,963.88 and 224,430.50

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Solution

The fourth proportional to 375,333.50, 517,963.88 and 224,430.50 is: 309,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,333.50 : 517,963.88 = 224,430.50 : x
  2. Step 2: Convert to fraction form
    375,333.50/517,963.88 = 224,430.50/x
  3. Step 3: Cross multiply
    375,333.50x = 517,963.88 × 224,430.50
  4. Step 4: Simplify right side
    375,333.50x = 116,246,892,570.34
  5. Step 5: Solve for x
    x = 116,246,892,570.34/375,333.50
  6. Step 6: Final answer
    x = 309,716.27

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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.