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Finding the Fourth Proportional to 541,291.16, 746,976.30 and 299,574.20

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Solution

The fourth proportional to 541,291.16, 746,976.30 and 299,574.20 is: 413,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,291.16 : 746,976.30 = 299,574.20 : x
  2. Step 2: Convert to fraction form
    541,291.16/746,976.30 = 299,574.20/x
  3. Step 3: Cross multiply
    541,291.16x = 746,976.30 × 299,574.20
  4. Step 4: Simplify right side
    541,291.16x = 223,774,827,491.46
  5. Step 5: Solve for x
    x = 223,774,827,491.46/541,291.16
  6. Step 6: Final answer
    x = 413,409.35

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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.