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Finding the Fourth Proportional to 512,583.81, 707,362.84 and 283,156.89

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Solution

The fourth proportional to 512,583.81, 707,362.84 and 283,156.89 is: 390,754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,583.81 : 707,362.84 = 283,156.89 : x
  2. Step 2: Convert to fraction form
    512,583.81/707,362.84 = 283,156.89/x
  3. Step 3: Cross multiply
    512,583.81x = 707,362.84 × 283,156.89
  4. Step 4: Simplify right side
    512,583.81x = 200,294,661,875.97
  5. Step 5: Solve for x
    x = 200,294,661,875.97/512,583.81
  6. Step 6: Final answer
    x = 390,754.95

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1.5x scale

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.