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Finding the Fourth Proportional to 405,598.97, 607,969.41 and 152,770.06

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Solution

The fourth proportional to 405,598.97, 607,969.41 and 152,770.06 is: 228,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,598.97 : 607,969.41 = 152,770.06 : x
  2. Step 2: Convert to fraction form
    405,598.97/607,969.41 = 152,770.06/x
  3. Step 3: Cross multiply
    405,598.97x = 607,969.41 × 152,770.06
  4. Step 4: Simplify right side
    405,598.97x = 92,879,525,145.71
  5. Step 5: Solve for x
    x = 92,879,525,145.71/405,598.97
  6. Step 6: Final answer
    x = 228,993.50

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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.