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Finding the Fourth Proportional to 307,570.10, 460,966.35 and 274,133.30

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Solution

The fourth proportional to 307,570.10, 460,966.35 and 274,133.30 is: 410,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,570.10 : 460,966.35 = 274,133.30 : x
  2. Step 2: Convert to fraction form
    307,570.10/460,966.35 = 274,133.30/x
  3. Step 3: Cross multiply
    307,570.10x = 460,966.35 × 274,133.30
  4. Step 4: Simplify right side
    307,570.10x = 126,366,226,714.46
  5. Step 5: Solve for x
    x = 126,366,226,714.46/307,570.10
  6. Step 6: Final answer
    x = 410,853.42

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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.