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Finding the Fourth Proportional to 541,368, 747,069.12 and 299,661.12

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Solution

The fourth proportional to 541,368, 747,069.12 and 299,661.12 is: 413,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,368 : 747,069.12 = 299,661.12 : x
  2. Step 2: Convert to fraction form
    541,368/747,069.12 = 299,661.12/x
  3. Step 3: Cross multiply
    541,368x = 747,069.12 × 299,661.12
  4. Step 4: Simplify right side
    541,368x = 223,867,569,216.61
  5. Step 5: Solve for x
    x = 223,867,569,216.61/541,368
  6. Step 6: Final answer
    x = 413,521.98

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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.