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Finding the Fourth Proportional to 456,262.40, 684,440.00 and 156,704.00

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Solution

The fourth proportional to 456,262.40, 684,440.00 and 156,704.00 is: 235,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,262.40 : 684,440.00 = 156,704.00 : x
  2. Step 2: Convert to fraction form
    456,262.40/684,440.00 = 156,704.00/x
  3. Step 3: Cross multiply
    456,262.40x = 684,440.00 × 156,704.00
  4. Step 4: Simplify right side
    456,262.40x = 107,254,481,554.28
  5. Step 5: Solve for x
    x = 107,254,481,554.28/456,262.40
  6. Step 6: Final answer
    x = 235,071.93

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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.