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Finding the Fourth Proportional to 358,470.72, 537,784.11 and 109,146.24

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Solution

The fourth proportional to 358,470.72, 537,784.11 and 109,146.24 is: 163,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,470.72 : 537,784.11 = 109,146.24 : x
  2. Step 2: Convert to fraction form
    358,470.72/537,784.11 = 109,146.24/x
  3. Step 3: Cross multiply
    358,470.72x = 537,784.11 × 109,146.24
  4. Step 4: Simplify right side
    358,470.72x = 58,697,113,538.25
  5. Step 5: Solve for x
    x = 58,697,113,538.25/358,470.72
  6. Step 6: Final answer
    x = 163,743.12

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Why These Related Problems?

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