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Finding the Fourth Proportional to 349,524.98, 523,159.77 and 180,812.98

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Solution

The fourth proportional to 349,524.98, 523,159.77 and 180,812.98 is: 270,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,524.98 : 523,159.77 = 180,812.98 : x
  2. Step 2: Convert to fraction form
    349,524.98/523,159.77 = 180,812.98/x
  3. Step 3: Cross multiply
    349,524.98x = 523,159.77 × 180,812.98
  4. Step 4: Simplify right side
    349,524.98x = 94,594,077,029.81
  5. Step 5: Solve for x
    x = 94,594,077,029.81/349,524.98
  6. Step 6: Final answer
    x = 270,636.10

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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.