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Finding the Fourth Proportional to 288,518.90, 398,150.24 and 175,378.10

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Solution

The fourth proportional to 288,518.90, 398,150.24 and 175,378.10 is: 242,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,518.90 : 398,150.24 = 175,378.10 : x
  2. Step 2: Convert to fraction form
    288,518.90/398,150.24 = 175,378.10/x
  3. Step 3: Cross multiply
    288,518.90x = 398,150.24 × 175,378.10
  4. Step 4: Simplify right side
    288,518.90x = 69,826,832,605.74
  5. Step 5: Solve for x
    x = 69,826,832,605.74/288,518.90
  6. Step 6: Final answer
    x = 242,018.23

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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.