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Finding the Fourth Proportional to 572,205, 858,100.14 and 256,499.40

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Solution

The fourth proportional to 572,205, 858,100.14 and 256,499.40 is: 384,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,205 : 858,100.14 = 256,499.40 : x
  2. Step 2: Convert to fraction form
    572,205/858,100.14 = 256,499.40/x
  3. Step 3: Cross multiply
    572,205x = 858,100.14 × 256,499.40
  4. Step 4: Simplify right side
    572,205x = 220,102,171,049.92
  5. Step 5: Solve for x
    x = 220,102,171,049.92/572,205
  6. Step 6: Final answer
    x = 384,656.15

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