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Finding the Fourth Proportional to 456,493.80, 684,740.70 and 124,069.80

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Solution

The fourth proportional to 456,493.80, 684,740.70 and 124,069.80 is: 186,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,493.80 : 684,740.70 = 124,069.80 : x
  2. Step 2: Convert to fraction form
    456,493.80/684,740.70 = 124,069.80/x
  3. Step 3: Cross multiply
    456,493.80x = 684,740.70 × 124,069.80
  4. Step 4: Simplify right side
    456,493.80x = 84,955,641,700.86
  5. Step 5: Solve for x
    x = 84,955,641,700.86/456,493.80
  6. Step 6: Final answer
    x = 186,104.70

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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.