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Finding the Fourth Proportional to 310,782.72, 466,106.64 and 111,116.92

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Solution

The fourth proportional to 310,782.72, 466,106.64 and 111,116.92 is: 166,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,782.72 : 466,106.64 = 111,116.92 : x
  2. Step 2: Convert to fraction form
    310,782.72/466,106.64 = 111,116.92/x
  3. Step 3: Cross multiply
    310,782.72x = 466,106.64 × 111,116.92
  4. Step 4: Simplify right side
    310,782.72x = 51,792,334,228.35
  5. Step 5: Solve for x
    x = 51,792,334,228.35/310,782.72
  6. Step 6: Final answer
    x = 166,651.27

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1.5x scale

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.