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Finding the Fourth Proportional to 402,806.58, 555,830.01 and 233,008.98

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Solution

The fourth proportional to 402,806.58, 555,830.01 and 233,008.98 is: 321,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,806.58 : 555,830.01 = 233,008.98 : x
  2. Step 2: Convert to fraction form
    402,806.58/555,830.01 = 233,008.98/x
  3. Step 3: Cross multiply
    402,806.58x = 555,830.01 × 233,008.98
  4. Step 4: Simplify right side
    402,806.58x = 129,513,383,683.49
  5. Step 5: Solve for x
    x = 129,513,383,683.49/402,806.58
  6. Step 6: Final answer
    x = 321,527.48

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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.