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Finding the Fourth Proportional to 473,214, 709,471.08 and 286,183.92

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Solution

The fourth proportional to 473,214, 709,471.08 and 286,183.92 is: 429,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,214 : 709,471.08 = 286,183.92 : x
  2. Step 2: Convert to fraction form
    473,214/709,471.08 = 286,183.92/x
  3. Step 3: Cross multiply
    473,214x = 709,471.08 × 286,183.92
  4. Step 4: Simplify right side
    473,214x = 203,039,214,801.03
  5. Step 5: Solve for x
    x = 203,039,214,801.03/473,214
  6. Step 6: Final answer
    x = 429,064.26

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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.