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Finding the Fourth Proportional to 375,684.16, 518,606.40 and 224,752

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Solution

The fourth proportional to 375,684.16, 518,606.40 and 224,752 is: 310,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,684.16 : 518,606.40 = 224,752 : x
  2. Step 2: Convert to fraction form
    375,684.16/518,606.40 = 224,752/x
  3. Step 3: Cross multiply
    375,684.16x = 518,606.40 × 224,752
  4. Step 4: Simplify right side
    375,684.16x = 116,557,825,612.80
  5. Step 5: Solve for x
    x = 116,557,825,612.80/375,684.16
  6. Step 6: Final answer
    x = 310,254.83

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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.