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Finding the Fourth Proportional to 349,549.92, 523,196.91 and 180,837.90

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Solution

The fourth proportional to 349,549.92, 523,196.91 and 180,837.90 is: 270,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,549.92 : 523,196.91 = 180,837.90 : x
  2. Step 2: Convert to fraction form
    349,549.92/523,196.91 = 180,837.90/x
  3. Step 3: Cross multiply
    349,549.92x = 523,196.91 × 180,837.90
  4. Step 4: Simplify right side
    349,549.92x = 94,613,830,490.89
  5. Step 5: Solve for x
    x = 94,613,830,490.89/349,549.92
  6. Step 6: Final answer
    x = 270,673.30

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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.