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Finding the Fourth Proportional to 648,827.34, 972,628.62 and 312,058.50

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Solution

The fourth proportional to 648,827.34, 972,628.62 and 312,058.50 is: 467,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,827.34 : 972,628.62 = 312,058.50 : x
  2. Step 2: Convert to fraction form
    648,827.34/972,628.62 = 312,058.50/x
  3. Step 3: Cross multiply
    648,827.34x = 972,628.62 × 312,058.50
  4. Step 4: Simplify right side
    648,827.34x = 303,517,028,214.27
  5. Step 5: Solve for x
    x = 303,517,028,214.27/648,827.34
  6. Step 6: Final answer
    x = 467,793.22

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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.