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Finding the Fourth Proportional to 295,092.52, 407,259.22 and 180,438.36

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Solution

The fourth proportional to 295,092.52, 407,259.22 and 180,438.36 is: 249,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,092.52 : 407,259.22 = 180,438.36 : x
  2. Step 2: Convert to fraction form
    295,092.52/407,259.22 = 180,438.36/x
  3. Step 3: Cross multiply
    295,092.52x = 407,259.22 × 180,438.36
  4. Step 4: Simplify right side
    295,092.52x = 73,485,185,751.68
  5. Step 5: Solve for x
    x = 73,485,185,751.68/295,092.52
  6. Step 6: Final answer
    x = 249,024.22

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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.