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Finding the Fourth Proportional to 510,090.58, 764,471.58 and 317,886.04

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Solution

The fourth proportional to 510,090.58, 764,471.58 and 317,886.04 is: 476,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,090.58 : 764,471.58 = 317,886.04 : x
  2. Step 2: Convert to fraction form
    510,090.58/764,471.58 = 317,886.04/x
  3. Step 3: Cross multiply
    510,090.58x = 764,471.58 × 317,886.04
  4. Step 4: Simplify right side
    510,090.58x = 243,014,843,258.74
  5. Step 5: Solve for x
    x = 243,014,843,258.74/510,090.58
  6. Step 6: Final answer
    x = 476,415.08

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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.