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Finding the Fourth Proportional to 473,570.22, 653,409.81 and 304,033.98

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Solution

The fourth proportional to 473,570.22, 653,409.81 and 304,033.98 is: 419,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,570.22 : 653,409.81 = 304,033.98 : x
  2. Step 2: Convert to fraction form
    473,570.22/653,409.81 = 304,033.98/x
  3. Step 3: Cross multiply
    473,570.22x = 653,409.81 × 304,033.98
  4. Step 4: Simplify right side
    473,570.22x = 198,658,785,105.34
  5. Step 5: Solve for x
    x = 198,658,785,105.34/473,570.22
  6. Step 6: Final answer
    x = 419,491.72

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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.