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Finding the Fourth Proportional to 367,543.36, 507,264.69 and 224,386.39

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Solution

The fourth proportional to 367,543.36, 507,264.69 and 224,386.39 is: 309,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,543.36 : 507,264.69 = 224,386.39 : x
  2. Step 2: Convert to fraction form
    367,543.36/507,264.69 = 224,386.39/x
  3. Step 3: Cross multiply
    367,543.36x = 507,264.69 × 224,386.39
  4. Step 4: Simplify right side
    367,543.36x = 113,823,292,563.57
  5. Step 5: Solve for x
    x = 113,823,292,563.57/367,543.36
  6. Step 6: Final answer
    x = 309,686.71

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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.