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Finding the Fourth Proportional to 526,281.80, 788,256.30 and 407,568.20

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Solution

The fourth proportional to 526,281.80, 788,256.30 and 407,568.20 is: 610,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,281.80 : 788,256.30 = 407,568.20 : x
  2. Step 2: Convert to fraction form
    526,281.80/788,256.30 = 407,568.20/x
  3. Step 3: Cross multiply
    526,281.80x = 788,256.30 × 407,568.20
  4. Step 4: Simplify right side
    526,281.80x = 321,268,201,329.66
  5. Step 5: Solve for x
    x = 321,268,201,329.66/526,281.80
  6. Step 6: Final answer
    x = 610,449.01

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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.