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Finding the Fourth Proportional to 295,032.32, 407,140.16 and 160,896.32

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Solution

The fourth proportional to 295,032.32, 407,140.16 and 160,896.32 is: 222,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,032.32 : 407,140.16 = 160,896.32 : x
  2. Step 2: Convert to fraction form
    295,032.32/407,140.16 = 160,896.32/x
  3. Step 3: Cross multiply
    295,032.32x = 407,140.16 × 160,896.32
  4. Step 4: Simplify right side
    295,032.32x = 65,507,353,468.21
  5. Step 5: Solve for x
    x = 65,507,353,468.21/295,032.32
  6. Step 6: Final answer
    x = 222,034.50

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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.