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Finding the Fourth Proportional to 415,811.60, 573,756.36 and 234,515.60

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Solution

The fourth proportional to 415,811.60, 573,756.36 and 234,515.60 is: 323,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,811.60 : 573,756.36 = 234,515.60 : x
  2. Step 2: Convert to fraction form
    415,811.60/573,756.36 = 234,515.60/x
  3. Step 3: Cross multiply
    415,811.60x = 573,756.36 × 234,515.60
  4. Step 4: Simplify right side
    415,811.60x = 134,554,817,019.22
  5. Step 5: Solve for x
    x = 134,554,817,019.22/415,811.60
  6. Step 6: Final answer
    x = 323,595.63

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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.