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Finding the Fourth Proportional to 282,797.82, 424,200.09 and 72,430.14

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Solution

The fourth proportional to 282,797.82, 424,200.09 and 72,430.14 is: 108,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,797.82 : 424,200.09 = 72,430.14 : x
  2. Step 2: Convert to fraction form
    282,797.82/424,200.09 = 72,430.14/x
  3. Step 3: Cross multiply
    282,797.82x = 424,200.09 × 72,430.14
  4. Step 4: Simplify right side
    282,797.82x = 30,724,871,906.71
  5. Step 5: Solve for x
    x = 30,724,871,906.71/282,797.82
  6. Step 6: Final answer
    x = 108,646.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.