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Finding the Fourth Proportional to 1,040,224, 1,435,509.12 and 563,296

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Solution

The fourth proportional to 1,040,224, 1,435,509.12 and 563,296 is: 777,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,224 : 1,435,509.12 = 563,296 : x
  2. Step 2: Convert to fraction form
    1,040,224/1,435,509.12 = 563,296/x
  3. Step 3: Cross multiply
    1,040,224x = 1,435,509.12 × 563,296
  4. Step 4: Simplify right side
    1,040,224x = 808,616,545,259.52
  5. Step 5: Solve for x
    x = 808,616,545,259.52/1,040,224
  6. Step 6: Final answer
    x = 777,348.48

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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.