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Finding the Fourth Proportional to 473,212.80, 709,171.20 and 304,214.40

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Solution

The fourth proportional to 473,212.80, 709,171.20 and 304,214.40 is: 455,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,212.80 : 709,171.20 = 304,214.40 : x
  2. Step 2: Convert to fraction form
    473,212.80/709,171.20 = 304,214.40/x
  3. Step 3: Cross multiply
    473,212.80x = 709,171.20 × 304,214.40
  4. Step 4: Simplify right side
    473,212.80x = 215,740,091,105.28
  5. Step 5: Solve for x
    x = 215,740,091,105.28/473,212.80
  6. Step 6: Final answer
    x = 455,905.02

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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.