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Finding the Fourth Proportional to 1,285,965.83, 1,927,741.83 and 432,440.69

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Solution

The fourth proportional to 1,285,965.83, 1,927,741.83 and 432,440.69 is: 648,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,965.83 : 1,927,741.83 = 432,440.69 : x
  2. Step 2: Convert to fraction form
    1,285,965.83/1,927,741.83 = 432,440.69/x
  3. Step 3: Cross multiply
    1,285,965.83x = 1,927,741.83 × 432,440.69
  4. Step 4: Simplify right side
    1,285,965.83x = 833,633,997,468.35
  5. Step 5: Solve for x
    x = 833,633,997,468.35/1,285,965.83
  6. Step 6: Final answer
    x = 648,255.17

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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.