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Finding the Fourth Proportional to 307,538.10, 461,307.15 and 304,427.70

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Solution

The fourth proportional to 307,538.10, 461,307.15 and 304,427.70 is: 456,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,538.10 : 461,307.15 = 304,427.70 : x
  2. Step 2: Convert to fraction form
    307,538.10/461,307.15 = 304,427.70/x
  3. Step 3: Cross multiply
    307,538.10x = 461,307.15 × 304,427.70
  4. Step 4: Simplify right side
    307,538.10x = 140,434,674,668.06
  5. Step 5: Solve for x
    x = 140,434,674,668.06/307,538.10
  6. Step 6: Final answer
    x = 456,641.55

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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.