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Finding the Fourth Proportional to 413,090.05, 570,062.74 and 231,801.57

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Solution

The fourth proportional to 413,090.05, 570,062.74 and 231,801.57 is: 319,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,090.05 : 570,062.74 = 231,801.57 : x
  2. Step 2: Convert to fraction form
    413,090.05/570,062.74 = 231,801.57/x
  3. Step 3: Cross multiply
    413,090.05x = 570,062.74 × 231,801.57
  4. Step 4: Simplify right side
    413,090.05x = 132,141,438,130.50
  5. Step 5: Solve for x
    x = 132,141,438,130.50/413,090.05
  6. Step 6: Final answer
    x = 319,885.31

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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.