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Finding the Fourth Proportional to 415,733.60, 573,698.40 and 262,854.08

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Solution

The fourth proportional to 415,733.60, 573,698.40 and 262,854.08 is: 362,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,733.60 : 573,698.40 = 262,854.08 : x
  2. Step 2: Convert to fraction form
    415,733.60/573,698.40 = 262,854.08/x
  3. Step 3: Cross multiply
    415,733.60x = 573,698.40 × 262,854.08
  4. Step 4: Simplify right side
    415,733.60x = 150,798,965,129.47
  5. Step 5: Solve for x
    x = 150,798,965,129.47/415,733.60
  6. Step 6: Final answer
    x = 362,729.80

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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.