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Finding the Fourth Proportional to 202,406.70, 283,784.10 and 202,406.70

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Solution

The fourth proportional to 202,406.70, 283,784.10 and 202,406.70 is: 283,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,406.70 : 283,784.10 = 202,406.70 : x
  2. Step 2: Convert to fraction form
    202,406.70/283,784.10 = 202,406.70/x
  3. Step 3: Cross multiply
    202,406.70x = 283,784.10 × 202,406.70
  4. Step 4: Simplify right side
    202,406.70x = 57,439,803,193.47
  5. Step 5: Solve for x
    x = 57,439,803,193.47/202,406.70
  6. Step 6: Final answer
    x = 283,784.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.