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Finding the Fourth Proportional to 349,095.60, 523,297.80 and 171,457.20

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Solution

The fourth proportional to 349,095.60, 523,297.80 and 171,457.20 is: 257,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,095.60 : 523,297.80 = 171,457.20 : x
  2. Step 2: Convert to fraction form
    349,095.60/523,297.80 = 171,457.20/x
  3. Step 3: Cross multiply
    349,095.60x = 523,297.80 × 171,457.20
  4. Step 4: Simplify right side
    349,095.60x = 89,723,175,554.16
  5. Step 5: Solve for x
    x = 89,723,175,554.16/349,095.60
  6. Step 6: Final answer
    x = 257,016.06

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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.