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Finding the Fourth Proportional to 413,956.78, 623,701.37 and 374,022.16

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Solution

The fourth proportional to 413,956.78, 623,701.37 and 374,022.16 is: 563,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,956.78 : 623,701.37 = 374,022.16 : x
  2. Step 2: Convert to fraction form
    413,956.78/623,701.37 = 374,022.16/x
  3. Step 3: Cross multiply
    413,956.78x = 623,701.37 × 374,022.16
  4. Step 4: Simplify right side
    413,956.78x = 233,278,133,602.36
  5. Step 5: Solve for x
    x = 233,278,133,602.36/413,956.78
  6. Step 6: Final answer
    x = 563,532.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.