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Finding the Fourth Proportional to 375,332.50, 517,962.50 and 224,429.50

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Solution

The fourth proportional to 375,332.50, 517,962.50 and 224,429.50 is: 309,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,332.50 : 517,962.50 = 224,429.50 : x
  2. Step 2: Convert to fraction form
    375,332.50/517,962.50 = 224,429.50/x
  3. Step 3: Cross multiply
    375,332.50x = 517,962.50 × 224,429.50
  4. Step 4: Simplify right side
    375,332.50x = 116,246,064,893.75
  5. Step 5: Solve for x
    x = 116,246,064,893.75/375,332.50
  6. Step 6: Final answer
    x = 309,714.89

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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.