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Finding the Fourth Proportional to 473,002.05, 652,758.06 and 269,047.73

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Solution

The fourth proportional to 473,002.05, 652,758.06 and 269,047.73 is: 371,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,002.05 : 652,758.06 = 269,047.73 : x
  2. Step 2: Convert to fraction form
    473,002.05/652,758.06 = 269,047.73/x
  3. Step 3: Cross multiply
    473,002.05x = 652,758.06 × 269,047.73
  4. Step 4: Simplify right side
    473,002.05x = 175,623,075,914.10
  5. Step 5: Solve for x
    x = 175,623,075,914.10/473,002.05
  6. Step 6: Final answer
    x = 371,294.53

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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.