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Finding the Fourth Proportional to 292,263.24, 403,253.54 and 201,590.22

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Solution

The fourth proportional to 292,263.24, 403,253.54 and 201,590.22 is: 278,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,263.24 : 403,253.54 = 201,590.22 : x
  2. Step 2: Convert to fraction form
    292,263.24/403,253.54 = 201,590.22/x
  3. Step 3: Cross multiply
    292,263.24x = 403,253.54 × 201,590.22
  4. Step 4: Simplify right side
    292,263.24x = 81,291,969,844.38
  5. Step 5: Solve for x
    x = 81,291,969,844.38/292,263.24
  6. Step 6: Final answer
    x = 278,146.41

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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.