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Finding the Fourth Proportional to 473,884.34, 654,399.34 and 304,416.14

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Solution

The fourth proportional to 473,884.34, 654,399.34 and 304,416.14 is: 420,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,884.34 : 654,399.34 = 304,416.14 : x
  2. Step 2: Convert to fraction form
    473,884.34/654,399.34 = 304,416.14/x
  3. Step 3: Cross multiply
    473,884.34x = 654,399.34 × 304,416.14
  4. Step 4: Simplify right side
    473,884.34x = 199,209,717,068.31
  5. Step 5: Solve for x
    x = 199,209,717,068.31/473,884.34
  6. Step 6: Final answer
    x = 420,376.24

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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.