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Finding the Fourth Proportional to 471,571.16, 650,667.27 and 280,547.24

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Solution

The fourth proportional to 471,571.16, 650,667.27 and 280,547.24 is: 387,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,571.16 : 650,667.27 = 280,547.24 : x
  2. Step 2: Convert to fraction form
    471,571.16/650,667.27 = 280,547.24/x
  3. Step 3: Cross multiply
    471,571.16x = 650,667.27 × 280,547.24
  4. Step 4: Simplify right side
    471,571.16x = 182,542,903,503.50
  5. Step 5: Solve for x
    x = 182,542,903,503.50/471,571.16
  6. Step 6: Final answer
    x = 387,095.14

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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.