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Finding the Fourth Proportional to 349,444.08, 523,792.32 and 180,794.64

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Solution

The fourth proportional to 349,444.08, 523,792.32 and 180,794.64 is: 270,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,444.08 : 523,792.32 = 180,794.64 : x
  2. Step 2: Convert to fraction form
    349,444.08/523,792.32 = 180,794.64/x
  3. Step 3: Cross multiply
    349,444.08x = 523,792.32 × 180,794.64
  4. Step 4: Simplify right side
    349,444.08x = 94,698,843,929.16
  5. Step 5: Solve for x
    x = 94,698,843,929.16/349,444.08
  6. Step 6: Final answer
    x = 270,998.56

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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.