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Finding the Fourth Proportional to 405,784.96, 608,558.52 and 152,883

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Solution

The fourth proportional to 405,784.96, 608,558.52 and 152,883 is: 229,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,784.96 : 608,558.52 = 152,883 : x
  2. Step 2: Convert to fraction form
    405,784.96/608,558.52 = 152,883/x
  3. Step 3: Cross multiply
    405,784.96x = 608,558.52 × 152,883
  4. Step 4: Simplify right side
    405,784.96x = 93,038,252,213.16
  5. Step 5: Solve for x
    x = 93,038,252,213.16/405,784.96
  6. Step 6: Final answer
    x = 229,279.70

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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.