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Finding the Fourth Proportional to 972,996, 1,459,122.21 and 467,412.90

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Solution

The fourth proportional to 972,996, 1,459,122.21 and 467,412.90 is: 700,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,996 : 1,459,122.21 = 467,412.90 : x
  2. Step 2: Convert to fraction form
    972,996/1,459,122.21 = 467,412.90/x
  3. Step 3: Cross multiply
    972,996x = 1,459,122.21 × 467,412.90
  4. Step 4: Simplify right side
    972,996x = 682,012,543,630.51
  5. Step 5: Solve for x
    x = 682,012,543,630.51/972,996
  6. Step 6: Final answer
    x = 700,940.75

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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.