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Finding the Fourth Proportional to 473,661.71, 654,089.69 and 304,191.08

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Solution

The fourth proportional to 473,661.71, 654,089.69 and 304,191.08 is: 420,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,661.71 : 654,089.69 = 304,191.08 : x
  2. Step 2: Convert to fraction form
    473,661.71/654,089.69 = 304,191.08/x
  3. Step 3: Cross multiply
    473,661.71x = 654,089.69 × 304,191.08
  4. Step 4: Simplify right side
    473,661.71x = 198,968,249,217.97
  5. Step 5: Solve for x
    x = 198,968,249,217.97/473,661.71
  6. Step 6: Final answer
    x = 420,064.04

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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.