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Finding the Fourth Proportional to 417,725.60, 626,588.40 and 193,085.60

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Solution

The fourth proportional to 417,725.60, 626,588.40 and 193,085.60 is: 289,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,725.60 : 626,588.40 = 193,085.60 : x
  2. Step 2: Convert to fraction form
    417,725.60/626,588.40 = 193,085.60/x
  3. Step 3: Cross multiply
    417,725.60x = 626,588.40 × 193,085.60
  4. Step 4: Simplify right side
    417,725.60x = 120,985,197,167.04
  5. Step 5: Solve for x
    x = 120,985,197,167.04/417,725.60
  6. Step 6: Final answer
    x = 289,628.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.