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Finding the Fourth Proportional to 456,721.10, 640,459.30 and 456,721.10

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Solution

The fourth proportional to 456,721.10, 640,459.30 and 456,721.10 is: 640,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,721.10 : 640,459.30 = 456,721.10 : x
  2. Step 2: Convert to fraction form
    456,721.10/640,459.30 = 456,721.10/x
  3. Step 3: Cross multiply
    456,721.10x = 640,459.30 × 456,721.10
  4. Step 4: Simplify right side
    456,721.10x = 292,511,276,001.23
  5. Step 5: Solve for x
    x = 292,511,276,001.23/456,721.10
  6. Step 6: Final answer
    x = 640,459.30

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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.