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Finding the Fourth Proportional to 514,561.61, 771,694.80 and 357,786.52

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Solution

The fourth proportional to 514,561.61, 771,694.80 and 357,786.52 is: 536,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,561.61 : 771,694.80 = 357,786.52 : x
  2. Step 2: Convert to fraction form
    514,561.61/771,694.80 = 357,786.52/x
  3. Step 3: Cross multiply
    514,561.61x = 771,694.80 × 357,786.52
  4. Step 4: Simplify right side
    514,561.61x = 276,101,993,723.16
  5. Step 5: Solve for x
    x = 276,101,993,723.16/514,561.61
  6. Step 6: Final answer
    x = 536,577.13

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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.