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Finding the Fourth Proportional to 394,718.40, 592,077.60 and 208,094.40

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Solution

The fourth proportional to 394,718.40, 592,077.60 and 208,094.40 is: 312,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,718.40 : 592,077.60 = 208,094.40 : x
  2. Step 2: Convert to fraction form
    394,718.40/592,077.60 = 208,094.40/x
  3. Step 3: Cross multiply
    394,718.40x = 592,077.60 × 208,094.40
  4. Step 4: Simplify right side
    394,718.40x = 123,208,032,925.44
  5. Step 5: Solve for x
    x = 123,208,032,925.44/394,718.40
  6. Step 6: Final answer
    x = 312,141.60

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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.