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Finding the Fourth Proportional to 473,884.21, 654,399.17 and 304,416.01

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Solution

The fourth proportional to 473,884.21, 654,399.17 and 304,416.01 is: 420,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,884.21 : 654,399.17 = 304,416.01 : x
  2. Step 2: Convert to fraction form
    473,884.21/654,399.17 = 304,416.01/x
  3. Step 3: Cross multiply
    473,884.21x = 654,399.17 × 304,416.01
  4. Step 4: Simplify right side
    473,884.21x = 199,209,584,278.71
  5. Step 5: Solve for x
    x = 199,209,584,278.71/473,884.21
  6. Step 6: Final answer
    x = 420,376.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.