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Finding the Fourth Proportional to 450,746.37, 675,122.94 and 308,253.96

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Solution

The fourth proportional to 450,746.37, 675,122.94 and 308,253.96 is: 461,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,746.37 : 675,122.94 = 308,253.96 : x
  2. Step 2: Convert to fraction form
    450,746.37/675,122.94 = 308,253.96/x
  3. Step 3: Cross multiply
    450,746.37x = 675,122.94 × 308,253.96
  4. Step 4: Simplify right side
    450,746.37x = 208,109,319,741.84
  5. Step 5: Solve for x
    x = 208,109,319,741.84/450,746.37
  6. Step 6: Final answer
    x = 461,699.38

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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.