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Finding the Fourth Proportional to 477,924.96, 717,010.46 and 140,952

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Solution

The fourth proportional to 477,924.96, 717,010.46 and 140,952 is: 211,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,924.96 : 717,010.46 = 140,952 : x
  2. Step 2: Convert to fraction form
    477,924.96/717,010.46 = 140,952/x
  3. Step 3: Cross multiply
    477,924.96x = 717,010.46 × 140,952
  4. Step 4: Simplify right side
    477,924.96x = 101,064,057,653.16
  5. Step 5: Solve for x
    x = 101,064,057,653.16/477,924.96
  6. Step 6: Final answer
    x = 211,464.28

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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.