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Finding the Fourth Proportional to 538,904.61, 743,678.01 and 297,209.52

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Solution

The fourth proportional to 538,904.61, 743,678.01 and 297,209.52 is: 410,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,904.61 : 743,678.01 = 297,209.52 : x
  2. Step 2: Convert to fraction form
    538,904.61/743,678.01 = 297,209.52/x
  3. Step 3: Cross multiply
    538,904.61x = 743,678.01 × 297,209.52
  4. Step 4: Simplify right side
    538,904.61x = 221,028,184,386.66
  5. Step 5: Solve for x
    x = 221,028,184,386.66/538,904.61
  6. Step 6: Final answer
    x = 410,143.43

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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.