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Finding the Fourth Proportional to 375,222.98, 517,802.54 and 205,457.10

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Solution

The fourth proportional to 375,222.98, 517,802.54 and 205,457.10 is: 283,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,222.98 : 517,802.54 = 205,457.10 : x
  2. Step 2: Convert to fraction form
    375,222.98/517,802.54 = 205,457.10/x
  3. Step 3: Cross multiply
    375,222.98x = 517,802.54 × 205,457.10
  4. Step 4: Simplify right side
    375,222.98x = 106,386,207,213.75
  5. Step 5: Solve for x
    x = 106,386,207,213.75/375,222.98
  6. Step 6: Final answer
    x = 283,527.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.