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Finding the Fourth Proportional to 464,513.10, 697,288.05 and 434,057.10

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Solution

The fourth proportional to 464,513.10, 697,288.05 and 434,057.10 is: 651,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,513.10 : 697,288.05 = 434,057.10 : x
  2. Step 2: Convert to fraction form
    464,513.10/697,288.05 = 434,057.10/x
  3. Step 3: Cross multiply
    464,513.10x = 697,288.05 × 434,057.10
  4. Step 4: Simplify right side
    464,513.10x = 302,662,828,847.66
  5. Step 5: Solve for x
    x = 302,662,828,847.66/464,513.10
  6. Step 6: Final answer
    x = 651,570.06

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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.