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Finding the Fourth Proportional to 402,538.89, 555,990.84 and 293,470.50

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Solution

The fourth proportional to 402,538.89, 555,990.84 and 293,470.50 is: 405,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,538.89 : 555,990.84 = 293,470.50 : x
  2. Step 2: Convert to fraction form
    402,538.89/555,990.84 = 293,470.50/x
  3. Step 3: Cross multiply
    402,538.89x = 555,990.84 × 293,470.50
  4. Step 4: Simplify right side
    402,538.89x = 163,166,909,810.22
  5. Step 5: Solve for x
    x = 163,166,909,810.22/402,538.89
  6. Step 6: Final answer
    x = 405,344.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.