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Finding the Fourth Proportional to 430,071.30, 645,236.55 and 305,655.30

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Solution

The fourth proportional to 430,071.30, 645,236.55 and 305,655.30 is: 458,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,071.30 : 645,236.55 = 305,655.30 : x
  2. Step 2: Convert to fraction form
    430,071.30/645,236.55 = 305,655.30/x
  3. Step 3: Cross multiply
    430,071.30x = 645,236.55 × 305,655.30
  4. Step 4: Simplify right side
    430,071.30x = 197,219,971,261.22
  5. Step 5: Solve for x
    x = 197,219,971,261.22/430,071.30
  6. Step 6: Final answer
    x = 458,575.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.