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Finding the Fourth Proportional to 412,739.84, 619,160.16 and 160,024.64

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Solution

The fourth proportional to 412,739.84, 619,160.16 and 160,024.64 is: 240,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,739.84 : 619,160.16 = 160,024.64 : x
  2. Step 2: Convert to fraction form
    412,739.84/619,160.16 = 160,024.64/x
  3. Step 3: Cross multiply
    412,739.84x = 619,160.16 × 160,024.64
  4. Step 4: Simplify right side
    412,739.84x = 99,080,881,706.34
  5. Step 5: Solve for x
    x = 99,080,881,706.34/412,739.84
  6. Step 6: Final answer
    x = 240,056.50

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1.5x scale

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.