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Finding the Fourth Proportional to 405,168.92, 607,753.84 and 105,649.24

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Solution

The fourth proportional to 405,168.92, 607,753.84 and 105,649.24 is: 158,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,168.92 : 607,753.84 = 105,649.24 : x
  2. Step 2: Convert to fraction form
    405,168.92/607,753.84 = 105,649.24/x
  3. Step 3: Cross multiply
    405,168.92x = 607,753.84 × 105,649.24
  4. Step 4: Simplify right side
    405,168.92x = 64,208,731,303.08
  5. Step 5: Solve for x
    x = 64,208,731,303.08/405,168.92
  6. Step 6: Final answer
    x = 158,473.98

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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.