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Finding the Fourth Proportional to 456,724.80, 640,814.40 and 456,724.80

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Solution

The fourth proportional to 456,724.80, 640,814.40 and 456,724.80 is: 640,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,724.80 : 640,814.40 = 456,724.80 : x
  2. Step 2: Convert to fraction form
    456,724.80/640,814.40 = 456,724.80/x
  3. Step 3: Cross multiply
    456,724.80x = 640,814.40 × 456,724.80
  4. Step 4: Simplify right side
    456,724.80x = 292,675,828,677.12
  5. Step 5: Solve for x
    x = 292,675,828,677.12/456,724.80
  6. Step 6: Final answer
    x = 640,814.40

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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.