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Finding the Fourth Proportional to 382,497.02, 527,864.60 and 212,727.50

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Solution

The fourth proportional to 382,497.02, 527,864.60 and 212,727.50 is: 293,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,497.02 : 527,864.60 = 212,727.50 : x
  2. Step 2: Convert to fraction form
    382,497.02/527,864.60 = 212,727.50/x
  3. Step 3: Cross multiply
    382,497.02x = 527,864.60 × 212,727.50
  4. Step 4: Simplify right side
    382,497.02x = 112,291,316,696.50
  5. Step 5: Solve for x
    x = 112,291,316,696.50/382,497.02
  6. Step 6: Final answer
    x = 293,574.36

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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.