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Finding the Fourth Proportional to 972,993, 1,459,117.71 and 467,409.90

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Solution

The fourth proportional to 972,993, 1,459,117.71 and 467,409.90 is: 700,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,993 : 1,459,117.71 = 467,409.90 : x
  2. Step 2: Convert to fraction form
    972,993/1,459,117.71 = 467,409.90/x
  3. Step 3: Cross multiply
    972,993x = 1,459,117.71 × 467,409.90
  4. Step 4: Simplify right side
    972,993x = 682,006,062,919.33
  5. Step 5: Solve for x
    x = 682,006,062,919.33/972,993
  6. Step 6: Final answer
    x = 700,936.25

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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.