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Finding the Fourth Proportional to 375,223.68, 517,803.54 and 205,457.82

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Solution

The fourth proportional to 375,223.68, 517,803.54 and 205,457.82 is: 283,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,223.68 : 517,803.54 = 205,457.82 : x
  2. Step 2: Convert to fraction form
    375,223.68/517,803.54 = 205,457.82/x
  3. Step 3: Cross multiply
    375,223.68x = 517,803.54 × 205,457.82
  4. Step 4: Simplify right side
    375,223.68x = 106,386,786,516.68
  5. Step 5: Solve for x
    x = 106,386,786,516.68/375,223.68
  6. Step 6: Final answer
    x = 283,528.98

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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.