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Finding the Fourth Proportional to 475,507.94, 656,268.08 and 294,278.24

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Solution

The fourth proportional to 475,507.94, 656,268.08 and 294,278.24 is: 406,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,507.94 : 656,268.08 = 294,278.24 : x
  2. Step 2: Convert to fraction form
    475,507.94/656,268.08 = 294,278.24/x
  3. Step 3: Cross multiply
    475,507.94x = 656,268.08 × 294,278.24
  4. Step 4: Simplify right side
    475,507.94x = 193,125,413,004.93
  5. Step 5: Solve for x
    x = 193,125,413,004.93/475,507.94
  6. Step 6: Final answer
    x = 406,145.51

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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.