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Finding the Fourth Proportional to 765,078.84, 1,147,126.19 and 365,710.77

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Solution

The fourth proportional to 765,078.84, 1,147,126.19 and 365,710.77 is: 548,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,078.84 : 1,147,126.19 = 365,710.77 : x
  2. Step 2: Convert to fraction form
    765,078.84/1,147,126.19 = 365,710.77/x
  3. Step 3: Cross multiply
    765,078.84x = 1,147,126.19 × 365,710.77
  4. Step 4: Simplify right side
    765,078.84x = 419,516,400,403.51
  5. Step 5: Solve for x
    x = 419,516,400,403.51/765,078.84
  6. Step 6: Final answer
    x = 548,330.94

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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.