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Finding the Fourth Proportional to 405,663.08, 608,580.38 and 152,938.28

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Solution

The fourth proportional to 405,663.08, 608,580.38 and 152,938.28 is: 229,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,663.08 : 608,580.38 = 152,938.28 : x
  2. Step 2: Convert to fraction form
    405,663.08/608,580.38 = 152,938.28/x
  3. Step 3: Cross multiply
    405,663.08x = 608,580.38 × 152,938.28
  4. Step 4: Simplify right side
    405,663.08x = 93,075,236,558.95
  5. Step 5: Solve for x
    x = 93,075,236,558.95/405,663.08
  6. Step 6: Final answer
    x = 229,439.75

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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.