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Finding the Fourth Proportional to 586,566, 809,452.44 and 344,875.76

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Solution

The fourth proportional to 586,566, 809,452.44 and 344,875.76 is: 475,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,566 : 809,452.44 = 344,875.76 : x
  2. Step 2: Convert to fraction form
    586,566/809,452.44 = 344,875.76/x
  3. Step 3: Cross multiply
    586,566x = 809,452.44 × 344,875.76
  4. Step 4: Simplify right side
    586,566x = 279,160,525,428.85
  5. Step 5: Solve for x
    x = 279,160,525,428.85/586,566
  6. Step 6: Final answer
    x = 475,923.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.