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Finding the Fourth Proportional to 282,756.04, 424,147.02 and 200,019.40

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Solution

The fourth proportional to 282,756.04, 424,147.02 and 200,019.40 is: 300,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,756.04 : 424,147.02 = 200,019.40 : x
  2. Step 2: Convert to fraction form
    282,756.04/424,147.02 = 200,019.40/x
  3. Step 3: Cross multiply
    282,756.04x = 424,147.02 × 200,019.40
  4. Step 4: Simplify right side
    282,756.04x = 84,837,632,452.19
  5. Step 5: Solve for x
    x = 84,837,632,452.19/282,756.04
  6. Step 6: Final answer
    x = 300,038.27

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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.