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Finding the Fourth Proportional to 315,546.64, 473,038.95 and 115,820.69

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Solution

The fourth proportional to 315,546.64, 473,038.95 and 115,820.69 is: 173,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,546.64 : 473,038.95 = 115,820.69 : x
  2. Step 2: Convert to fraction form
    315,546.64/473,038.95 = 115,820.69/x
  3. Step 3: Cross multiply
    315,546.64x = 473,038.95 × 115,820.69
  4. Step 4: Simplify right side
    315,546.64x = 54,787,695,655.01
  5. Step 5: Solve for x
    x = 54,787,695,655.01/315,546.64
  6. Step 6: Final answer
    x = 173,627.89

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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.