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Finding the Fourth Proportional to 456,659.80, 640,723.40 and 456,659.80

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Solution

The fourth proportional to 456,659.80, 640,723.40 and 456,659.80 is: 640,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,659.80 : 640,723.40 = 456,659.80 : x
  2. Step 2: Convert to fraction form
    456,659.80/640,723.40 = 456,659.80/x
  3. Step 3: Cross multiply
    456,659.80x = 640,723.40 × 456,659.80
  4. Step 4: Simplify right side
    456,659.80x = 292,592,619,699.32
  5. Step 5: Solve for x
    x = 292,592,619,699.32/456,659.80
  6. Step 6: Final answer
    x = 640,723.40

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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.