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Finding the Fourth Proportional to 501,914.24, 751,957.91 and 448,105.84

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Solution

The fourth proportional to 501,914.24, 751,957.91 and 448,105.84 is: 671,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,914.24 : 751,957.91 = 448,105.84 : x
  2. Step 2: Convert to fraction form
    501,914.24/751,957.91 = 448,105.84/x
  3. Step 3: Cross multiply
    501,914.24x = 751,957.91 × 448,105.84
  4. Step 4: Simplify right side
    501,914.24x = 336,956,730,905.19
  5. Step 5: Solve for x
    x = 336,956,730,905.19/501,914.24
  6. Step 6: Final answer
    x = 671,343.24

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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.