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Finding the Fourth Proportional to 456,726.10, 640,466.30 and 456,726.10

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Solution

The fourth proportional to 456,726.10, 640,466.30 and 456,726.10 is: 640,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,726.10 : 640,466.30 = 456,726.10 : x
  2. Step 2: Convert to fraction form
    456,726.10/640,466.30 = 456,726.10/x
  3. Step 3: Cross multiply
    456,726.10x = 640,466.30 × 456,726.10
  4. Step 4: Simplify right side
    456,726.10x = 292,517,675,380.43
  5. Step 5: Solve for x
    x = 292,517,675,380.43/456,726.10
  6. Step 6: Final answer
    x = 640,466.30

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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.