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Finding the Fourth Proportional to 385,335.64, 578,169.52 and 160,740.28

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Solution

The fourth proportional to 385,335.64, 578,169.52 and 160,740.28 is: 241,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,335.64 : 578,169.52 = 160,740.28 : x
  2. Step 2: Convert to fraction form
    385,335.64/578,169.52 = 160,740.28/x
  3. Step 3: Cross multiply
    385,335.64x = 578,169.52 × 160,740.28
  4. Step 4: Simplify right side
    385,335.64x = 92,935,130,532.27
  5. Step 5: Solve for x
    x = 92,935,130,532.27/385,335.64
  6. Step 6: Final answer
    x = 241,179.69

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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.