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Finding the Fourth Proportional to 652,226.32, 978,023.48 and 382,428.24

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Solution

The fourth proportional to 652,226.32, 978,023.48 and 382,428.24 is: 573,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,226.32 : 978,023.48 = 382,428.24 : x
  2. Step 2: Convert to fraction form
    652,226.32/978,023.48 = 382,428.24/x
  3. Step 3: Cross multiply
    652,226.32x = 978,023.48 × 382,428.24
  4. Step 4: Simplify right side
    652,226.32x = 374,023,798,135.08
  5. Step 5: Solve for x
    x = 374,023,798,135.08/652,226.32
  6. Step 6: Final answer
    x = 573,457.08

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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.