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Finding the Fourth Proportional to 375,834.48, 518,717.88 and 224,931.12

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Solution

The fourth proportional to 375,834.48, 518,717.88 and 224,931.12 is: 310,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,834.48 : 518,717.88 = 224,931.12 : x
  2. Step 2: Convert to fraction form
    375,834.48/518,717.88 = 224,931.12/x
  3. Step 3: Cross multiply
    375,834.48x = 518,717.88 × 224,931.12
  4. Step 4: Simplify right side
    375,834.48x = 116,675,793,712.43
  5. Step 5: Solve for x
    x = 116,675,793,712.43/375,834.48
  6. Step 6: Final answer
    x = 310,444.62

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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.