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Finding the Fourth Proportional to 415,509.93, 573,369.24 and 234,266.40

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Solution

The fourth proportional to 415,509.93, 573,369.24 and 234,266.40 is: 323,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,509.93 : 573,369.24 = 234,266.40 : x
  2. Step 2: Convert to fraction form
    415,509.93/573,369.24 = 234,266.40/x
  3. Step 3: Cross multiply
    415,509.93x = 573,369.24 × 234,266.40
  4. Step 4: Simplify right side
    415,509.93x = 134,321,147,725.54
  5. Step 5: Solve for x
    x = 134,321,147,725.54/415,509.93
  6. Step 6: Final answer
    x = 323,268.20

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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.