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Finding the Fourth Proportional to 559,465.72, 839,271.86 and 204,646.84

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Solution

The fourth proportional to 559,465.72, 839,271.86 and 204,646.84 is: 306,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,465.72 : 839,271.86 = 204,646.84 : x
  2. Step 2: Convert to fraction form
    559,465.72/839,271.86 = 204,646.84/x
  3. Step 3: Cross multiply
    559,465.72x = 839,271.86 × 204,646.84
  4. Step 4: Simplify right side
    559,465.72x = 171,754,334,049.92
  5. Step 5: Solve for x
    x = 171,754,334,049.92/559,465.72
  6. Step 6: Final answer
    x = 306,997.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.