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Finding the Fourth Proportional to 586,527.66, 809,309.61 and 341,564.22

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Solution

The fourth proportional to 586,527.66, 809,309.61 and 341,564.22 is: 471,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,527.66 : 809,309.61 = 341,564.22 : x
  2. Step 2: Convert to fraction form
    586,527.66/809,309.61 = 341,564.22/x
  3. Step 3: Cross multiply
    586,527.66x = 809,309.61 × 341,564.22
  4. Step 4: Simplify right side
    586,527.66x = 276,431,205,678.15
  5. Step 5: Solve for x
    x = 276,431,205,678.15/586,527.66
  6. Step 6: Final answer
    x = 471,301.23

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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.