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Finding the Fourth Proportional to 412,380.40, 576,088.40 and 412,380.40

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Solution

The fourth proportional to 412,380.40, 576,088.40 and 412,380.40 is: 576,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,380.40 : 576,088.40 = 412,380.40 : x
  2. Step 2: Convert to fraction form
    412,380.40/576,088.40 = 412,380.40/x
  3. Step 3: Cross multiply
    412,380.40x = 576,088.40 × 412,380.40
  4. Step 4: Simplify right side
    412,380.40x = 237,567,564,827.36
  5. Step 5: Solve for x
    x = 237,567,564,827.36/412,380.40
  6. Step 6: Final answer
    x = 576,088.40

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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.