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Finding the Fourth Proportional to 970,805.22, 1,456,071.75 and 409,708.50

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Solution

The fourth proportional to 970,805.22, 1,456,071.75 and 409,708.50 is: 614,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,805.22 : 1,456,071.75 = 409,708.50 : x
  2. Step 2: Convert to fraction form
    970,805.22/1,456,071.75 = 409,708.50/x
  3. Step 3: Cross multiply
    970,805.22x = 1,456,071.75 × 409,708.50
  4. Step 4: Simplify right side
    970,805.22x = 596,564,972,584.88
  5. Step 5: Solve for x
    x = 596,564,972,584.88/970,805.22
  6. Step 6: Final answer
    x = 614,505.32

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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.