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Finding the Fourth Proportional to 712,206, 1,066,773.16 and 670,332.24

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Solution

The fourth proportional to 712,206, 1,066,773.16 and 670,332.24 is: 1,004,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,206 : 1,066,773.16 = 670,332.24 : x
  2. Step 2: Convert to fraction form
    712,206/1,066,773.16 = 670,332.24/x
  3. Step 3: Cross multiply
    712,206x = 1,066,773.16 × 670,332.24
  4. Step 4: Simplify right side
    712,206x = 715,092,441,914.68
  5. Step 5: Solve for x
    x = 715,092,441,914.68/712,206
  6. Step 6: Final answer
    x = 1,004,052.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.