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Finding the Fourth Proportional to 473,528.92, 653,362.32 and 282,505

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Solution

The fourth proportional to 473,528.92, 653,362.32 and 282,505 is: 389,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,528.92 : 653,362.32 = 282,505 : x
  2. Step 2: Convert to fraction form
    473,528.92/653,362.32 = 282,505/x
  3. Step 3: Cross multiply
    473,528.92x = 653,362.32 × 282,505
  4. Step 4: Simplify right side
    473,528.92x = 184,578,122,211.60
  5. Step 5: Solve for x
    x = 184,578,122,211.60/473,528.92
  6. Step 6: Final answer
    x = 389,792.71

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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.