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Finding the Fourth Proportional to 295,105.80, 407,282.58 and 180,360.84

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Solution

The fourth proportional to 295,105.80, 407,282.58 and 180,360.84 is: 248,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,105.80 : 407,282.58 = 180,360.84 : x
  2. Step 2: Convert to fraction form
    295,105.80/407,282.58 = 180,360.84/x
  3. Step 3: Cross multiply
    295,105.80x = 407,282.58 × 180,360.84
  4. Step 4: Simplify right side
    295,105.80x = 73,457,828,246.17
  5. Step 5: Solve for x
    x = 73,457,828,246.17/295,105.80
  6. Step 6: Final answer
    x = 248,920.31

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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.