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Finding the Fourth Proportional to 329,810.30, 463,134.10 and 329,810.30

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Solution

The fourth proportional to 329,810.30, 463,134.10 and 329,810.30 is: 463,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,810.30 : 463,134.10 = 329,810.30 : x
  2. Step 2: Convert to fraction form
    329,810.30/463,134.10 = 329,810.30/x
  3. Step 3: Cross multiply
    329,810.30x = 463,134.10 × 329,810.30
  4. Step 4: Simplify right side
    329,810.30x = 152,746,396,461.23
  5. Step 5: Solve for x
    x = 152,746,396,461.23/329,810.30
  6. Step 6: Final answer
    x = 463,134.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.