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Finding the Fourth Proportional to 348,356.86, 522,409.89 and 120,590.61

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Solution

The fourth proportional to 348,356.86, 522,409.89 and 120,590.61 is: 180,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,356.86 : 522,409.89 = 120,590.61 : x
  2. Step 2: Convert to fraction form
    348,356.86/522,409.89 = 120,590.61/x
  3. Step 3: Cross multiply
    348,356.86x = 522,409.89 × 120,590.61
  4. Step 4: Simplify right side
    348,356.86x = 62,997,725,798.31
  5. Step 5: Solve for x
    x = 62,997,725,798.31/348,356.86
  6. Step 6: Final answer
    x = 180,842.50

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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.