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Finding the Fourth Proportional to 413,327.40, 619,400.70 and 235,458.60

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Solution

The fourth proportional to 413,327.40, 619,400.70 and 235,458.60 is: 352,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,327.40 : 619,400.70 = 235,458.60 : x
  2. Step 2: Convert to fraction form
    413,327.40/619,400.70 = 235,458.60/x
  3. Step 3: Cross multiply
    413,327.40x = 619,400.70 × 235,458.60
  4. Step 4: Simplify right side
    413,327.40x = 145,843,221,661.02
  5. Step 5: Solve for x
    x = 145,843,221,661.02/413,327.40
  6. Step 6: Final answer
    x = 352,851.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.