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Finding the Fourth Proportional to 586,632.71, 809,564.63 and 382,814.03

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Solution

The fourth proportional to 586,632.71, 809,564.63 and 382,814.03 is: 528,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,632.71 : 809,564.63 = 382,814.03 : x
  2. Step 2: Convert to fraction form
    586,632.71/809,564.63 = 382,814.03/x
  3. Step 3: Cross multiply
    586,632.71x = 809,564.63 × 382,814.03
  4. Step 4: Simplify right side
    586,632.71x = 309,912,692,593.87
  5. Step 5: Solve for x
    x = 309,912,692,593.87/586,632.71
  6. Step 6: Final answer
    x = 528,290.85

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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.