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Finding the Fourth Proportional to 798,411, 1,197,813.78 and 237,443.16

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Solution

The fourth proportional to 798,411, 1,197,813.78 and 237,443.16 is: 356,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,411 : 1,197,813.78 = 237,443.16 : x
  2. Step 2: Convert to fraction form
    798,411/1,197,813.78 = 237,443.16/x
  3. Step 3: Cross multiply
    798,411x = 1,197,813.78 × 237,443.16
  4. Step 4: Simplify right side
    798,411x = 284,412,689,014.75
  5. Step 5: Solve for x
    x = 284,412,689,014.75/798,411
  6. Step 6: Final answer
    x = 356,223.41

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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.