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Finding the Fourth Proportional to 524,223.97, 786,336.77 and 224,681.11

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Solution

The fourth proportional to 524,223.97, 786,336.77 and 224,681.11 is: 337,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,223.97 : 786,336.77 = 224,681.11 : x
  2. Step 2: Convert to fraction form
    524,223.97/786,336.77 = 224,681.11/x
  3. Step 3: Cross multiply
    524,223.97x = 786,336.77 × 224,681.11
  4. Step 4: Simplify right side
    524,223.97x = 176,675,018,317.42
  5. Step 5: Solve for x
    x = 176,675,018,317.42/524,223.97
  6. Step 6: Final answer
    x = 337,022.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.