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Finding the Fourth Proportional to 473,197.50, 709,446.33 and 286,167.42

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Solution

The fourth proportional to 473,197.50, 709,446.33 and 286,167.42 is: 429,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,197.50 : 709,446.33 = 286,167.42 : x
  2. Step 2: Convert to fraction form
    473,197.50/709,446.33 = 286,167.42/x
  3. Step 3: Cross multiply
    473,197.50x = 709,446.33 × 286,167.42
  4. Step 4: Simplify right side
    473,197.50x = 203,020,425,884.57
  5. Step 5: Solve for x
    x = 203,020,425,884.57/473,197.50
  6. Step 6: Final answer
    x = 429,039.51

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