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Finding the Fourth Proportional to 402,185.94, 603,356.67 and 152,848.50

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Solution

The fourth proportional to 402,185.94, 603,356.67 and 152,848.50 is: 229,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,185.94 : 603,356.67 = 152,848.50 : x
  2. Step 2: Convert to fraction form
    402,185.94/603,356.67 = 152,848.50/x
  3. Step 3: Cross multiply
    402,185.94x = 603,356.67 × 152,848.50
  4. Step 4: Simplify right side
    402,185.94x = 92,222,161,974.50
  5. Step 5: Solve for x
    x = 92,222,161,974.50/402,185.94
  6. Step 6: Final answer
    x = 229,302.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.