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Finding the Fourth Proportional to 362,602.87, 500,407.53 and 201,457.92

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Solution

The fourth proportional to 362,602.87, 500,407.53 and 201,457.92 is: 278,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,602.87 : 500,407.53 = 201,457.92 : x
  2. Step 2: Convert to fraction form
    362,602.87/500,407.53 = 201,457.92/x
  3. Step 3: Cross multiply
    362,602.87x = 500,407.53 × 201,457.92
  4. Step 4: Simplify right side
    362,602.87x = 100,811,060,146.14
  5. Step 5: Solve for x
    x = 100,811,060,146.14/362,602.87
  6. Step 6: Final answer
    x = 278,020.58

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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.