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Finding the Fourth Proportional to 315,151.50, 472,728.98 and 78,494.19

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Solution

The fourth proportional to 315,151.50, 472,728.98 and 78,494.19 is: 117,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,151.50 : 472,728.98 = 78,494.19 : x
  2. Step 2: Convert to fraction form
    315,151.50/472,728.98 = 78,494.19/x
  3. Step 3: Cross multiply
    315,151.50x = 472,728.98 × 78,494.19
  4. Step 4: Simplify right side
    315,151.50x = 37,106,478,374.63
  5. Step 5: Solve for x
    x = 37,106,478,374.63/315,151.50
  6. Step 6: Final answer
    x = 117,741.72

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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.