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Finding the Fourth Proportional to 586,669.14, 809,487.81 and 357,164.82

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Solution

The fourth proportional to 586,669.14, 809,487.81 and 357,164.82 is: 492,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,669.14 : 809,487.81 = 357,164.82 : x
  2. Step 2: Convert to fraction form
    586,669.14/809,487.81 = 357,164.82/x
  3. Step 3: Cross multiply
    586,669.14x = 809,487.81 × 357,164.82
  4. Step 4: Simplify right side
    586,669.14x = 289,120,567,950.84
  5. Step 5: Solve for x
    x = 289,120,567,950.84/586,669.14
  6. Step 6: Final answer
    x = 492,817.07

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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.