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Finding the Fourth Proportional to 522,078.30, 783,117.45 and 312,126.30

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Solution

The fourth proportional to 522,078.30, 783,117.45 and 312,126.30 is: 468,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,078.30 : 783,117.45 = 312,126.30 : x
  2. Step 2: Convert to fraction form
    522,078.30/783,117.45 = 312,126.30/x
  3. Step 3: Cross multiply
    522,078.30x = 783,117.45 × 312,126.30
  4. Step 4: Simplify right side
    522,078.30x = 244,431,552,133.94
  5. Step 5: Solve for x
    x = 244,431,552,133.94/522,078.30
  6. Step 6: Final answer
    x = 468,189.45

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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.