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Finding the Fourth Proportional to 456,893.28, 630,798.48 and 293,616

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Solution

The fourth proportional to 456,893.28, 630,798.48 and 293,616 is: 405,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,893.28 : 630,798.48 = 293,616 : x
  2. Step 2: Convert to fraction form
    456,893.28/630,798.48 = 293,616/x
  3. Step 3: Cross multiply
    456,893.28x = 630,798.48 × 293,616
  4. Step 4: Simplify right side
    456,893.28x = 185,212,526,503.68
  5. Step 5: Solve for x
    x = 185,212,526,503.68/456,893.28
  6. Step 6: Final answer
    x = 405,373.72

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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.