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Finding the Fourth Proportional to 586,464.01, 809,079.78 and 356,837.20

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Solution

The fourth proportional to 586,464.01, 809,079.78 and 356,837.20 is: 492,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,464.01 : 809,079.78 = 356,837.20 : x
  2. Step 2: Convert to fraction form
    586,464.01/809,079.78 = 356,837.20/x
  3. Step 3: Cross multiply
    586,464.01x = 809,079.78 × 356,837.20
  4. Step 4: Simplify right side
    586,464.01x = 288,709,763,271.82
  5. Step 5: Solve for x
    x = 288,709,763,271.82/586,464.01
  6. Step 6: Final answer
    x = 492,288.97

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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.