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Finding the Fourth Proportional to 537,805.06, 742,165 and 296,082.64

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Solution

The fourth proportional to 537,805.06, 742,165 and 296,082.64 is: 408,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,805.06 : 742,165 = 296,082.64 : x
  2. Step 2: Convert to fraction form
    537,805.06/742,165 = 296,082.64/x
  3. Step 3: Cross multiply
    537,805.06x = 742,165 × 296,082.64
  4. Step 4: Simplify right side
    537,805.06x = 219,742,172,515.60
  5. Step 5: Solve for x
    x = 219,742,172,515.60/537,805.06
  6. Step 6: Final answer
    x = 408,590.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.