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Finding the Fourth Proportional to 423,552.96, 584,509.92 and 232,584

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Solution

The fourth proportional to 423,552.96, 584,509.92 and 232,584 is: 320,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,552.96 : 584,509.92 = 232,584 : x
  2. Step 2: Convert to fraction form
    423,552.96/584,509.92 = 232,584/x
  3. Step 3: Cross multiply
    423,552.96x = 584,509.92 × 232,584
  4. Step 4: Simplify right side
    423,552.96x = 135,947,655,233.28
  5. Step 5: Solve for x
    x = 135,947,655,233.28/423,552.96
  6. Step 6: Final answer
    x = 320,969.67

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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.