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Finding the Fourth Proportional to 850,082, 1,173,113.16 and 468,107.87

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Solution

The fourth proportional to 850,082, 1,173,113.16 and 468,107.87 is: 645,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,082 : 1,173,113.16 = 468,107.87 : x
  2. Step 2: Convert to fraction form
    850,082/1,173,113.16 = 468,107.87/x
  3. Step 3: Cross multiply
    850,082x = 1,173,113.16 × 468,107.87
  4. Step 4: Simplify right side
    850,082x = 549,143,502,596.57
  5. Step 5: Solve for x
    x = 549,143,502,596.57/850,082
  6. Step 6: Final answer
    x = 645,988.86

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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.