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Finding the Fourth Proportional to 315,580.23, 473,374.53 and 105,218.24

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Solution

The fourth proportional to 315,580.23, 473,374.53 and 105,218.24 is: 157,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,580.23 : 473,374.53 = 105,218.24 : x
  2. Step 2: Convert to fraction form
    315,580.23/473,374.53 = 105,218.24/x
  3. Step 3: Cross multiply
    315,580.23x = 473,374.53 × 105,218.24
  4. Step 4: Simplify right side
    315,580.23x = 49,807,632,540.55
  5. Step 5: Solve for x
    x = 49,807,632,540.55/315,580.23
  6. Step 6: Final answer
    x = 157,828.75

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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.