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Finding the Fourth Proportional to 405,241.12, 607,854.96 and 155,977.12

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Solution

The fourth proportional to 405,241.12, 607,854.96 and 155,977.12 is: 233,963.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,241.12 : 607,854.96 = 155,977.12 : x
  2. Step 2: Convert to fraction form
    405,241.12/607,854.96 = 155,977.12/x
  3. Step 3: Cross multiply
    405,241.12x = 607,854.96 × 155,977.12
  4. Step 4: Simplify right side
    405,241.12x = 94,811,466,038.52
  5. Step 5: Solve for x
    x = 94,811,466,038.52/405,241.12
  6. Step 6: Final answer
    x = 233,963.09

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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.