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Finding the Fourth Proportional to 586,684.31, 809,206.49 and 538,441.73

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Solution

The fourth proportional to 586,684.31, 809,206.49 and 538,441.73 is: 742,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,684.31 : 809,206.49 = 538,441.73 : x
  2. Step 2: Convert to fraction form
    586,684.31/809,206.49 = 538,441.73/x
  3. Step 3: Cross multiply
    586,684.31x = 809,206.49 × 538,441.73
  4. Step 4: Simplify right side
    586,684.31x = 435,710,535,664.59
  5. Step 5: Solve for x
    x = 435,710,535,664.59/586,684.31
  6. Step 6: Final answer
    x = 742,666.08

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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.