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Finding the Fourth Proportional to 405,599.72, 607,970.54 and 152,770.81

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Solution

The fourth proportional to 405,599.72, 607,970.54 and 152,770.81 is: 228,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,599.72 : 607,970.54 = 152,770.81 : x
  2. Step 2: Convert to fraction form
    405,599.72/607,970.54 = 152,770.81/x
  3. Step 3: Cross multiply
    405,599.72x = 607,970.54 × 152,770.81
  4. Step 4: Simplify right side
    405,599.72x = 92,880,151,851.94
  5. Step 5: Solve for x
    x = 92,880,151,851.94/405,599.72
  6. Step 6: Final answer
    x = 228,994.62

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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.