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Finding the Fourth Proportional to 299,319.90, 413,064.93 and 178,529.86

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Solution

The fourth proportional to 299,319.90, 413,064.93 and 178,529.86 is: 246,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,319.90 : 413,064.93 = 178,529.86 : x
  2. Step 2: Convert to fraction form
    299,319.90/413,064.93 = 178,529.86/x
  3. Step 3: Cross multiply
    299,319.90x = 413,064.93 × 178,529.86
  4. Step 4: Simplify right side
    299,319.90x = 73,744,424,123.81
  5. Step 5: Solve for x
    x = 73,744,424,123.81/299,319.90
  6. Step 6: Final answer
    x = 246,373.28

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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.