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Finding the Fourth Proportional to 460,959.61, 691,762.62 and 191,091.91

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Solution

The fourth proportional to 460,959.61, 691,762.62 and 191,091.91 is: 286,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,959.61 : 691,762.62 = 191,091.91 : x
  2. Step 2: Convert to fraction form
    460,959.61/691,762.62 = 191,091.91/x
  3. Step 3: Cross multiply
    460,959.61x = 691,762.62 × 191,091.91
  4. Step 4: Simplify right side
    460,959.61x = 132,190,240,322.40
  5. Step 5: Solve for x
    x = 132,190,240,322.40/460,959.61
  6. Step 6: Final answer
    x = 286,771.85

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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.