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Finding the Fourth Proportional to 527,977.62, 727,904.25 and 419,442.08

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Solution

The fourth proportional to 527,977.62, 727,904.25 and 419,442.08 is: 578,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,977.62 : 727,904.25 = 419,442.08 : x
  2. Step 2: Convert to fraction form
    527,977.62/727,904.25 = 419,442.08/x
  3. Step 3: Cross multiply
    527,977.62x = 727,904.25 × 419,442.08
  4. Step 4: Simplify right side
    527,977.62x = 305,313,669,021.32
  5. Step 5: Solve for x
    x = 305,313,669,021.32/527,977.62
  6. Step 6: Final answer
    x = 578,270.10

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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.