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Finding the Fourth Proportional to 405,959.50, 608,941.80 and 106,437.40

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Solution

The fourth proportional to 405,959.50, 608,941.80 and 106,437.40 is: 159,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,959.50 : 608,941.80 = 106,437.40 : x
  2. Step 2: Convert to fraction form
    405,959.50/608,941.80 = 106,437.40/x
  3. Step 3: Cross multiply
    405,959.50x = 608,941.80 × 106,437.40
  4. Step 4: Simplify right side
    405,959.50x = 64,814,181,943.32
  5. Step 5: Solve for x
    x = 64,814,181,943.32/405,959.50
  6. Step 6: Final answer
    x = 159,656.77

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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.