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Finding the Fourth Proportional to 456,031, 684,056.22 and 156,510.28

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Solution

The fourth proportional to 456,031, 684,056.22 and 156,510.28 is: 234,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,031 : 684,056.22 = 156,510.28 : x
  2. Step 2: Convert to fraction form
    456,031/684,056.22 = 156,510.28/x
  3. Step 3: Cross multiply
    456,031x = 684,056.22 × 156,510.28
  4. Step 4: Simplify right side
    456,031x = 107,061,830,527.94
  5. Step 5: Solve for x
    x = 107,061,830,527.94/456,031
  6. Step 6: Final answer
    x = 234,768.76

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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.