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Finding the Fourth Proportional to 315,748, 473,855.76 and 149,536.48

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Solution

The fourth proportional to 315,748, 473,855.76 and 149,536.48 is: 224,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,748 : 473,855.76 = 149,536.48 : x
  2. Step 2: Convert to fraction form
    315,748/473,855.76 = 149,536.48/x
  3. Step 3: Cross multiply
    315,748x = 473,855.76 × 149,536.48
  4. Step 4: Simplify right side
    315,748x = 70,858,722,378.12
  5. Step 5: Solve for x
    x = 70,858,722,378.12/315,748
  6. Step 6: Final answer
    x = 224,415.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.