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Finding the Fourth Proportional to 464,563.10, 697,363.05 and 434,107.10

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Solution

The fourth proportional to 464,563.10, 697,363.05 and 434,107.10 is: 651,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,563.10 : 697,363.05 = 434,107.10 : x
  2. Step 2: Convert to fraction form
    464,563.10/697,363.05 = 434,107.10/x
  3. Step 3: Cross multiply
    464,563.10x = 697,363.05 × 434,107.10
  4. Step 4: Simplify right side
    464,563.10x = 302,730,251,282.66
  5. Step 5: Solve for x
    x = 302,730,251,282.66/464,563.10
  6. Step 6: Final answer
    x = 651,645.06

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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.