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Finding the Fourth Proportional to 473,597.69, 653,683.97 and 304,127.06

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Solution

The fourth proportional to 473,597.69, 653,683.97 and 304,127.06 is: 419,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,597.69 : 653,683.97 = 304,127.06 : x
  2. Step 2: Convert to fraction form
    473,597.69/653,683.97 = 304,127.06/x
  3. Step 3: Cross multiply
    473,597.69x = 653,683.97 × 304,127.06
  4. Step 4: Simplify right side
    473,597.69x = 198,802,981,457.13
  5. Step 5: Solve for x
    x = 198,802,981,457.13/473,597.69
  6. Step 6: Final answer
    x = 419,771.86

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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.