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Finding the Fourth Proportional to 538,776.65, 743,497.54 and 297,055.14

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Solution

The fourth proportional to 538,776.65, 743,497.54 and 297,055.14 is: 409,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,776.65 : 743,497.54 = 297,055.14 : x
  2. Step 2: Convert to fraction form
    538,776.65/743,497.54 = 297,055.14/x
  3. Step 3: Cross multiply
    538,776.65x = 743,497.54 × 297,055.14
  4. Step 4: Simplify right side
    538,776.65x = 220,859,765,834.36
  5. Step 5: Solve for x
    x = 220,859,765,834.36/538,776.65
  6. Step 6: Final answer
    x = 409,928.24

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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.