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Finding the Fourth Proportional to 370,210.80, 510,938.64 and 209,107.20

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Solution

The fourth proportional to 370,210.80, 510,938.64 and 209,107.20 is: 288,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,210.80 : 510,938.64 = 209,107.20 : x
  2. Step 2: Convert to fraction form
    370,210.80/510,938.64 = 209,107.20/x
  3. Step 3: Cross multiply
    370,210.80x = 510,938.64 × 209,107.20
  4. Step 4: Simplify right side
    370,210.80x = 106,840,948,382.21
  5. Step 5: Solve for x
    x = 106,840,948,382.21/370,210.80
  6. Step 6: Final answer
    x = 288,594.90

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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.