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Finding the Fourth Proportional to 456,077.40, 684,116.10 and 123,653.40

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Solution

The fourth proportional to 456,077.40, 684,116.10 and 123,653.40 is: 185,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,077.40 : 684,116.10 = 123,653.40 : x
  2. Step 2: Convert to fraction form
    456,077.40/684,116.10 = 123,653.40/x
  3. Step 3: Cross multiply
    456,077.40x = 684,116.10 × 123,653.40
  4. Step 4: Simplify right side
    456,077.40x = 84,593,281,759.74
  5. Step 5: Solve for x
    x = 84,593,281,759.74/456,077.40
  6. Step 6: Final answer
    x = 185,480.10

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Similar ratio
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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.