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Finding the Fourth Proportional to 301,775.59, 454,468.74 and 274,871.84

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Solution

The fourth proportional to 301,775.59, 454,468.74 and 274,871.84 is: 413,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,775.59 : 454,468.74 = 274,871.84 : x
  2. Step 2: Convert to fraction form
    301,775.59/454,468.74 = 274,871.84/x
  3. Step 3: Cross multiply
    301,775.59x = 454,468.74 × 274,871.84
  4. Step 4: Simplify right side
    301,775.59x = 124,920,657,411.92
  5. Step 5: Solve for x
    x = 124,920,657,411.92/301,775.59
  6. Step 6: Final answer
    x = 413,952.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.