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Finding the Fourth Proportional to 522,411.84, 783,355.32 and 242,125.92

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Solution

The fourth proportional to 522,411.84, 783,355.32 and 242,125.92 is: 363,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,411.84 : 783,355.32 = 242,125.92 : x
  2. Step 2: Convert to fraction form
    522,411.84/783,355.32 = 242,125.92/x
  3. Step 3: Cross multiply
    522,411.84x = 783,355.32 × 242,125.92
  4. Step 4: Simplify right side
    522,411.84x = 189,670,627,541.89
  5. Step 5: Solve for x
    x = 189,670,627,541.89/522,411.84
  6. Step 6: Final answer
    x = 363,067.25

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Why These Related Problems?

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