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Finding the Fourth Proportional to 464,553.10, 697,348.05 and 434,097.10

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Solution

The fourth proportional to 464,553.10, 697,348.05 and 434,097.10 is: 651,630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,553.10 : 697,348.05 = 434,097.10 : x
  2. Step 2: Convert to fraction form
    464,553.10/697,348.05 = 434,097.10/x
  3. Step 3: Cross multiply
    464,553.10x = 697,348.05 × 434,097.10
  4. Step 4: Simplify right side
    464,553.10x = 302,716,766,195.66
  5. Step 5: Solve for x
    x = 302,716,766,195.66/464,553.10
  6. Step 6: Final answer
    x = 651,630.06

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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.