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Finding the Fourth Proportional to 423,505.28, 584,452.32 and 232,533.28

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Solution

The fourth proportional to 423,505.28, 584,452.32 and 232,533.28 is: 320,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,505.28 : 584,452.32 = 232,533.28 : x
  2. Step 2: Convert to fraction form
    423,505.28/584,452.32 = 232,533.28/x
  3. Step 3: Cross multiply
    423,505.28x = 584,452.32 × 232,533.28
  4. Step 4: Simplify right side
    423,505.28x = 135,904,614,973.21
  5. Step 5: Solve for x
    x = 135,904,614,973.21/423,505.28
  6. Step 6: Final answer
    x = 320,904.18

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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.