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Finding the Fourth Proportional to 391,906, 540,205.30 and 294,964.15

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Solution

The fourth proportional to 391,906, 540,205.30 and 294,964.15 is: 406,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,906 : 540,205.30 = 294,964.15 : x
  2. Step 2: Convert to fraction form
    391,906/540,205.30 = 294,964.15/x
  3. Step 3: Cross multiply
    391,906x = 540,205.30 × 294,964.15
  4. Step 4: Simplify right side
    391,906x = 159,341,197,140.00
  5. Step 5: Solve for x
    x = 159,341,197,140.00/391,906
  6. Step 6: Final answer
    x = 406,580.14

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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.