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Finding the Fourth Proportional to 409,846.90, 614,811.36 and 125,534.16

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Solution

The fourth proportional to 409,846.90, 614,811.36 and 125,534.16 is: 188,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,846.90 : 614,811.36 = 125,534.16 : x
  2. Step 2: Convert to fraction form
    409,846.90/614,811.36 = 125,534.16/x
  3. Step 3: Cross multiply
    409,846.90x = 614,811.36 × 125,534.16
  4. Step 4: Simplify right side
    409,846.90x = 77,179,827,636.06
  5. Step 5: Solve for x
    x = 77,179,827,636.06/409,846.90
  6. Step 6: Final answer
    x = 188,313.80

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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.