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Finding the Fourth Proportional to 473,820.57, 653,662.17 and 282,722.94

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Solution

The fourth proportional to 473,820.57, 653,662.17 and 282,722.94 is: 390,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,820.57 : 653,662.17 = 282,722.94 : x
  2. Step 2: Convert to fraction form
    473,820.57/653,662.17 = 282,722.94/x
  3. Step 3: Cross multiply
    473,820.57x = 653,662.17 × 282,722.94
  4. Step 4: Simplify right side
    473,820.57x = 184,805,290,469.18
  5. Step 5: Solve for x
    x = 184,805,290,469.18/473,820.57
  6. Step 6: Final answer
    x = 390,032.22

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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.