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Finding the Fourth Proportional to 972,995, 1,459,120.71 and 467,411.90

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Solution

The fourth proportional to 972,995, 1,459,120.71 and 467,411.90 is: 700,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,995 : 1,459,120.71 = 467,411.90 : x
  2. Step 2: Convert to fraction form
    972,995/1,459,120.71 = 467,411.90/x
  3. Step 3: Cross multiply
    972,995x = 1,459,120.71 × 467,411.90
  4. Step 4: Simplify right side
    972,995x = 682,010,383,390.45
  5. Step 5: Solve for x
    x = 682,010,383,390.45/972,995
  6. Step 6: Final answer
    x = 700,939.25

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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.