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Finding the Fourth Proportional to 405,712.68, 608,918.94 and 156,569.64

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Solution

The fourth proportional to 405,712.68, 608,918.94 and 156,569.64 is: 234,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,712.68 : 608,918.94 = 156,569.64 : x
  2. Step 2: Convert to fraction form
    405,712.68/608,918.94 = 156,569.64/x
  3. Step 3: Cross multiply
    405,712.68x = 608,918.94 × 156,569.64
  4. Step 4: Simplify right side
    405,712.68x = 95,338,219,224.98
  5. Step 5: Solve for x
    x = 95,338,219,224.98/405,712.68
  6. Step 6: Final answer
    x = 234,989.50

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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.