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Finding the Fourth Proportional to 456,205.80, 684,308.70 and 189,877.80

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Solution

The fourth proportional to 456,205.80, 684,308.70 and 189,877.80 is: 284,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,205.80 : 684,308.70 = 189,877.80 : x
  2. Step 2: Convert to fraction form
    456,205.80/684,308.70 = 189,877.80/x
  3. Step 3: Cross multiply
    456,205.80x = 684,308.70 × 189,877.80
  4. Step 4: Simplify right side
    456,205.80x = 129,935,030,476.86
  5. Step 5: Solve for x
    x = 129,935,030,476.86/456,205.80
  6. Step 6: Final answer
    x = 284,816.70

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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.