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Finding the Fourth Proportional to 473,527.92, 653,360.94 and 282,504

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Solution

The fourth proportional to 473,527.92, 653,360.94 and 282,504 is: 389,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,527.92 : 653,360.94 = 282,504 : x
  2. Step 2: Convert to fraction form
    473,527.92/653,360.94 = 282,504/x
  3. Step 3: Cross multiply
    473,527.92x = 653,360.94 × 282,504
  4. Step 4: Simplify right side
    473,527.92x = 184,577,078,993.76
  5. Step 5: Solve for x
    x = 184,577,078,993.76/473,527.92
  6. Step 6: Final answer
    x = 389,791.33

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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.