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Finding the Fourth Proportional to 464,390.23, 640,928.57 and 283,207.26

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Solution

The fourth proportional to 464,390.23, 640,928.57 and 283,207.26 is: 390,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,390.23 : 640,928.57 = 283,207.26 : x
  2. Step 2: Convert to fraction form
    464,390.23/640,928.57 = 283,207.26/x
  3. Step 3: Cross multiply
    464,390.23x = 640,928.57 × 283,207.26
  4. Step 4: Simplify right side
    464,390.23x = 181,515,622,749.38
  5. Step 5: Solve for x
    x = 181,515,622,749.38/464,390.23
  6. Step 6: Final answer
    x = 390,868.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.