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Finding the Fourth Proportional to 315,588.56, 473,387.04 and 105,226.58

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Solution

The fourth proportional to 315,588.56, 473,387.04 and 105,226.58 is: 157,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,588.56 : 473,387.04 = 105,226.58 : x
  2. Step 2: Convert to fraction form
    315,588.56/473,387.04 = 105,226.58/x
  3. Step 3: Cross multiply
    315,588.56x = 473,387.04 × 105,226.58
  4. Step 4: Simplify right side
    315,588.56x = 49,812,899,235.52
  5. Step 5: Solve for x
    x = 49,812,899,235.52/315,588.56
  6. Step 6: Final answer
    x = 157,841.27

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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.