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Finding the Fourth Proportional to 370,563.77, 511,364.70 and 209,415.30

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Solution

The fourth proportional to 370,563.77, 511,364.70 and 209,415.30 is: 288,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,563.77 : 511,364.70 = 209,415.30 : x
  2. Step 2: Convert to fraction form
    370,563.77/511,364.70 = 209,415.30/x
  3. Step 3: Cross multiply
    370,563.77x = 511,364.70 × 209,415.30
  4. Step 4: Simplify right side
    370,563.77x = 107,087,592,059.91
  5. Step 5: Solve for x
    x = 107,087,592,059.91/370,563.77
  6. Step 6: Final answer
    x = 288,985.60

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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.