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Finding the Fourth Proportional to 473,082, 652,962.84 and 311,966.16

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Solution

The fourth proportional to 473,082, 652,962.84 and 311,966.16 is: 430,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,082 : 652,962.84 = 311,966.16 : x
  2. Step 2: Convert to fraction form
    473,082/652,962.84 = 311,966.16/x
  3. Step 3: Cross multiply
    473,082x = 652,962.84 × 311,966.16
  4. Step 4: Simplify right side
    473,082x = 203,702,309,817.49
  5. Step 5: Solve for x
    x = 203,702,309,817.49/473,082
  6. Step 6: Final answer
    x = 430,585.63

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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.