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Finding the Fourth Proportional to 405,262.80, 607,894.68 and 105,743.16

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Solution

The fourth proportional to 405,262.80, 607,894.68 and 105,743.16 is: 158,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,262.80 : 607,894.68 = 105,743.16 : x
  2. Step 2: Convert to fraction form
    405,262.80/607,894.68 = 105,743.16/x
  3. Step 3: Cross multiply
    405,262.80x = 607,894.68 × 105,743.16
  4. Step 4: Simplify right side
    405,262.80x = 64,280,704,410.39
  5. Step 5: Solve for x
    x = 64,280,704,410.39/405,262.80
  6. Step 6: Final answer
    x = 158,614.87

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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.