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Finding the Fourth Proportional to 362,816.80, 508,468.40 and 362,816.80

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Solution

The fourth proportional to 362,816.80, 508,468.40 and 362,816.80 is: 508,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,816.80 : 508,468.40 = 362,816.80 : x
  2. Step 2: Convert to fraction form
    362,816.80/508,468.40 = 362,816.80/x
  3. Step 3: Cross multiply
    362,816.80x = 508,468.40 × 362,816.80
  4. Step 4: Simplify right side
    362,816.80x = 184,480,877,789.12
  5. Step 5: Solve for x
    x = 184,480,877,789.12/362,816.80
  6. Step 6: Final answer
    x = 508,468.40

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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.