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Finding the Fourth Proportional to 456,024.87, 684,065.50 and 152,446.34

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Solution

The fourth proportional to 456,024.87, 684,065.50 and 152,446.34 is: 228,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,024.87 : 684,065.50 = 152,446.34 : x
  2. Step 2: Convert to fraction form
    456,024.87/684,065.50 = 152,446.34/x
  3. Step 3: Cross multiply
    456,024.87x = 684,065.50 × 152,446.34
  4. Step 4: Simplify right side
    456,024.87x = 104,283,281,795.27
  5. Step 5: Solve for x
    x = 104,283,281,795.27/456,024.87
  6. Step 6: Final answer
    x = 228,678.94

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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.