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Finding the Fourth Proportional to 876,104.90, 1,314,200.55 and 456,200.90

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Solution

The fourth proportional to 876,104.90, 1,314,200.55 and 456,200.90 is: 684,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,104.90 : 1,314,200.55 = 456,200.90 : x
  2. Step 2: Convert to fraction form
    876,104.90/1,314,200.55 = 456,200.90/x
  3. Step 3: Cross multiply
    876,104.90x = 1,314,200.55 × 456,200.90
  4. Step 4: Simplify right side
    876,104.90x = 599,539,473,690.50
  5. Step 5: Solve for x
    x = 599,539,473,690.50/876,104.90
  6. Step 6: Final answer
    x = 684,323.84

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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.