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Finding the Fourth Proportional to 299,017.46, 412,641.09 and 163,051.07

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Solution

The fourth proportional to 299,017.46, 412,641.09 and 163,051.07 is: 225,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,017.46 : 412,641.09 = 163,051.07 : x
  2. Step 2: Convert to fraction form
    299,017.46/412,641.09 = 163,051.07/x
  3. Step 3: Cross multiply
    299,017.46x = 412,641.09 × 163,051.07
  4. Step 4: Simplify right side
    299,017.46x = 67,281,571,250.47
  5. Step 5: Solve for x
    x = 67,281,571,250.47/299,017.46
  6. Step 6: Final answer
    x = 225,008.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.