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Finding the Fourth Proportional to 320,224.95, 480,345.66 and 151,705.80

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Solution

The fourth proportional to 320,224.95, 480,345.66 and 151,705.80 is: 227,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,224.95 : 480,345.66 = 151,705.80 : x
  2. Step 2: Convert to fraction form
    320,224.95/480,345.66 = 151,705.80/x
  3. Step 3: Cross multiply
    320,224.95x = 480,345.66 × 151,705.80
  4. Step 4: Simplify right side
    320,224.95x = 72,871,222,626.83
  5. Step 5: Solve for x
    x = 72,871,222,626.83/320,224.95
  6. Step 6: Final answer
    x = 227,562.60

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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.