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Finding the Fourth Proportional to 648,408.60, 972,152.10 and 293,592.60

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Solution

The fourth proportional to 648,408.60, 972,152.10 and 293,592.60 is: 440,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,408.60 : 972,152.10 = 293,592.60 : x
  2. Step 2: Convert to fraction form
    648,408.60/972,152.10 = 293,592.60/x
  3. Step 3: Cross multiply
    648,408.60x = 972,152.10 × 293,592.60
  4. Step 4: Simplify right side
    648,408.60x = 285,416,662,634.46
  5. Step 5: Solve for x
    x = 285,416,662,634.46/648,408.60
  6. Step 6: Final answer
    x = 440,180.25

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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.