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Finding the Fourth Proportional to 375,045.50, 517,567.66 and 205,275.98

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Solution

The fourth proportional to 375,045.50, 517,567.66 and 205,275.98 is: 283,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,045.50 : 517,567.66 = 205,275.98 : x
  2. Step 2: Convert to fraction form
    375,045.50/517,567.66 = 205,275.98/x
  3. Step 3: Cross multiply
    375,045.50x = 517,567.66 × 205,275.98
  4. Step 4: Simplify right side
    375,045.50x = 106,244,208,622.81
  5. Step 5: Solve for x
    x = 106,244,208,622.81/375,045.50
  6. Step 6: Final answer
    x = 283,283.52

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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.