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Finding the Fourth Proportional to 315,676.32, 473,584.47 and 91,019.25

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Solution

The fourth proportional to 315,676.32, 473,584.47 and 91,019.25 is: 136,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,676.32 : 473,584.47 = 91,019.25 : x
  2. Step 2: Convert to fraction form
    315,676.32/473,584.47 = 91,019.25/x
  3. Step 3: Cross multiply
    315,676.32x = 473,584.47 × 91,019.25
  4. Step 4: Simplify right side
    315,676.32x = 43,105,303,271.05
  5. Step 5: Solve for x
    x = 43,105,303,271.05/315,676.32
  6. Step 6: Final answer
    x = 136,549.06

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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.