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Finding the Fourth Proportional to 349,457.19, 523,802.22 and 199,370.17

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Solution

The fourth proportional to 349,457.19, 523,802.22 and 199,370.17 is: 298,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,457.19 : 523,802.22 = 199,370.17 : x
  2. Step 2: Convert to fraction form
    349,457.19/523,802.22 = 199,370.17/x
  3. Step 3: Cross multiply
    349,457.19x = 523,802.22 × 199,370.17
  4. Step 4: Simplify right side
    349,457.19x = 104,430,537,647.78
  5. Step 5: Solve for x
    x = 104,430,537,647.78/349,457.19
  6. Step 6: Final answer
    x = 298,836.43

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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.