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Finding the Fourth Proportional to 413,364.60, 570,399.08 and 232,096.46

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Solution

The fourth proportional to 413,364.60, 570,399.08 and 232,096.46 is: 320,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,364.60 : 570,399.08 = 232,096.46 : x
  2. Step 2: Convert to fraction form
    413,364.60/570,399.08 = 232,096.46/x
  3. Step 3: Cross multiply
    413,364.60x = 570,399.08 × 232,096.46
  4. Step 4: Simplify right side
    413,364.60x = 132,387,603,242.78
  5. Step 5: Solve for x
    x = 132,387,603,242.78/413,364.60
  6. Step 6: Final answer
    x = 320,268.36

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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.