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Finding the Fourth Proportional to 416,658.66, 575,024.34 and 235,403.88

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Solution

The fourth proportional to 416,658.66, 575,024.34 and 235,403.88 is: 324,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,658.66 : 575,024.34 = 235,403.88 : x
  2. Step 2: Convert to fraction form
    416,658.66/575,024.34 = 235,403.88/x
  3. Step 3: Cross multiply
    416,658.66x = 575,024.34 × 235,403.88
  4. Step 4: Simplify right side
    416,658.66x = 135,362,960,730.44
  5. Step 5: Solve for x
    x = 135,362,960,730.44/416,658.66
  6. Step 6: Final answer
    x = 324,877.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.