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Finding the Fourth Proportional to 282,753.78, 390,200.49 and 155,437.74

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Solution

The fourth proportional to 282,753.78, 390,200.49 and 155,437.74 is: 214,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,753.78 : 390,200.49 = 155,437.74 : x
  2. Step 2: Convert to fraction form
    282,753.78/390,200.49 = 155,437.74/x
  3. Step 3: Cross multiply
    282,753.78x = 390,200.49 × 155,437.74
  4. Step 4: Simplify right side
    282,753.78x = 60,651,882,312.49
  5. Step 5: Solve for x
    x = 60,651,882,312.49/282,753.78
  6. Step 6: Final answer
    x = 214,504.23

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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.