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Finding the Fourth Proportional to 317,159.16, 475,588.08 and 184,080.21

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Solution

The fourth proportional to 317,159.16, 475,588.08 and 184,080.21 is: 276,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,159.16 : 475,588.08 = 184,080.21 : x
  2. Step 2: Convert to fraction form
    317,159.16/475,588.08 = 184,080.21/x
  3. Step 3: Cross multiply
    317,159.16x = 475,588.08 × 184,080.21
  4. Step 4: Simplify right side
    317,159.16x = 87,546,353,639.90
  5. Step 5: Solve for x
    x = 87,546,353,639.90/317,159.16
  6. Step 6: Final answer
    x = 276,032.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.