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Finding the Fourth Proportional to 460,567.40, 690,944.24 and 194,328.48

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Solution

The fourth proportional to 460,567.40, 690,944.24 and 194,328.48 is: 291,532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,567.40 : 690,944.24 = 194,328.48 : x
  2. Step 2: Convert to fraction form
    460,567.40/690,944.24 = 194,328.48/x
  3. Step 3: Cross multiply
    460,567.40x = 690,944.24 × 194,328.48
  4. Step 4: Simplify right side
    460,567.40x = 134,270,143,923.96
  5. Step 5: Solve for x
    x = 134,270,143,923.96/460,567.40
  6. Step 6: Final answer
    x = 291,532.02

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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.