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Finding the Fourth Proportional to 412,740.84, 619,161.66 and 160,025.64

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Solution

The fourth proportional to 412,740.84, 619,161.66 and 160,025.64 is: 240,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,740.84 : 619,161.66 = 160,025.64 : x
  2. Step 2: Convert to fraction form
    412,740.84/619,161.66 = 160,025.64/x
  3. Step 3: Cross multiply
    412,740.84x = 619,161.66 × 160,025.64
  4. Step 4: Simplify right side
    412,740.84x = 99,081,740,904.96
  5. Step 5: Solve for x
    x = 99,081,740,904.96/412,740.84
  6. Step 6: Final answer
    x = 240,058.00

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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.