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Finding the Fourth Proportional to 417,655.68, 626,483.52 and 102,108.84

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Solution

The fourth proportional to 417,655.68, 626,483.52 and 102,108.84 is: 153,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,655.68 : 626,483.52 = 102,108.84 : x
  2. Step 2: Convert to fraction form
    417,655.68/626,483.52 = 102,108.84/x
  3. Step 3: Cross multiply
    417,655.68x = 626,483.52 × 102,108.84
  4. Step 4: Simplify right side
    417,655.68x = 63,969,505,506.32
  5. Step 5: Solve for x
    x = 63,969,505,506.32/417,655.68
  6. Step 6: Final answer
    x = 153,163.26

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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.