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Finding the Fourth Proportional to 404,830.34, 558,715.14 and 235,064.48

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Solution

The fourth proportional to 404,830.34, 558,715.14 and 235,064.48 is: 324,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,830.34 : 558,715.14 = 235,064.48 : x
  2. Step 2: Convert to fraction form
    404,830.34/558,715.14 = 235,064.48/x
  3. Step 3: Cross multiply
    404,830.34x = 558,715.14 × 235,064.48
  4. Step 4: Simplify right side
    404,830.34x = 131,334,083,852.23
  5. Step 5: Solve for x
    x = 131,334,083,852.23/404,830.34
  6. Step 6: Final answer
    x = 324,417.59

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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.