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Finding the Fourth Proportional to 473,198, 709,447.08 and 286,167.92

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Solution

The fourth proportional to 473,198, 709,447.08 and 286,167.92 is: 429,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,198 : 709,447.08 = 286,167.92 : x
  2. Step 2: Convert to fraction form
    473,198/709,447.08 = 286,167.92/x
  3. Step 3: Cross multiply
    473,198x = 709,447.08 × 286,167.92
  4. Step 4: Simplify right side
    473,198x = 203,020,995,233.67
  5. Step 5: Solve for x
    x = 203,020,995,233.67/473,198
  6. Step 6: Final answer
    x = 429,040.26

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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.