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Finding the Fourth Proportional to 369,149, 553,345.23 and 280,214.24

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Solution

The fourth proportional to 369,149, 553,345.23 and 280,214.24 is: 420,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,149 : 553,345.23 = 280,214.24 : x
  2. Step 2: Convert to fraction form
    369,149/553,345.23 = 280,214.24/x
  3. Step 3: Cross multiply
    369,149x = 553,345.23 × 280,214.24
  4. Step 4: Simplify right side
    369,149x = 155,055,213,082.08
  5. Step 5: Solve for x
    x = 155,055,213,082.08/369,149
  6. Step 6: Final answer
    x = 420,034.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.