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Finding the Fourth Proportional to 315,576.74, 473,369.29 and 105,214.74

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Solution

The fourth proportional to 315,576.74, 473,369.29 and 105,214.74 is: 157,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,576.74 : 473,369.29 = 105,214.74 : x
  2. Step 2: Convert to fraction form
    315,576.74/473,369.29 = 105,214.74/x
  3. Step 3: Cross multiply
    315,576.74x = 473,369.29 × 105,214.74
  4. Step 4: Simplify right side
    315,576.74x = 49,805,426,245.26
  5. Step 5: Solve for x
    x = 49,805,426,245.26/315,576.74
  6. Step 6: Final answer
    x = 157,823.50

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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.