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Finding the Fourth Proportional to 456,658.56, 684,819.36 and 157,055.76

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Solution

The fourth proportional to 456,658.56, 684,819.36 and 157,055.76 is: 235,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,658.56 : 684,819.36 = 157,055.76 : x
  2. Step 2: Convert to fraction form
    456,658.56/684,819.36 = 157,055.76/x
  3. Step 3: Cross multiply
    456,658.56x = 684,819.36 × 157,055.76
  4. Step 4: Simplify right side
    456,658.56x = 107,554,825,047.51
  5. Step 5: Solve for x
    x = 107,554,825,047.51/456,658.56
  6. Step 6: Final answer
    x = 235,525.70

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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.