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Finding the Fourth Proportional to 531,764.60, 734,106.04 and 410,633.96

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Solution

The fourth proportional to 531,764.60, 734,106.04 and 410,633.96 is: 566,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,764.60 : 734,106.04 = 410,633.96 : x
  2. Step 2: Convert to fraction form
    531,764.60/734,106.04 = 410,633.96/x
  3. Step 3: Cross multiply
    531,764.60x = 734,106.04 × 410,633.96
  4. Step 4: Simplify right side
    531,764.60x = 301,448,865,568.00
  5. Step 5: Solve for x
    x = 301,448,865,568.00/531,764.60
  6. Step 6: Final answer
    x = 566,884.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.