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Finding the Fourth Proportional to 405,602.19, 607,974.25 and 152,773.28

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Solution

The fourth proportional to 405,602.19, 607,974.25 and 152,773.28 is: 228,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,602.19 : 607,974.25 = 152,773.28 : x
  2. Step 2: Convert to fraction form
    405,602.19/607,974.25 = 152,773.28/x
  3. Step 3: Cross multiply
    405,602.19x = 607,974.25 × 152,773.28
  4. Step 4: Simplify right side
    405,602.19x = 92,882,220,328.04
  5. Step 5: Solve for x
    x = 92,882,220,328.04/405,602.19
  6. Step 6: Final answer
    x = 228,998.32

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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.