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Finding the Fourth Proportional to 537,904.19, 742,313.30 and 296,209.24

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Solution

The fourth proportional to 537,904.19, 742,313.30 and 296,209.24 is: 408,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,904.19 : 742,313.30 = 296,209.24 : x
  2. Step 2: Convert to fraction form
    537,904.19/742,313.30 = 296,209.24/x
  3. Step 3: Cross multiply
    537,904.19x = 742,313.30 × 296,209.24
  4. Step 4: Simplify right side
    537,904.19x = 219,880,055,098.06
  5. Step 5: Solve for x
    x = 219,880,055,098.06/537,904.19
  6. Step 6: Final answer
    x = 408,771.78

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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.