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Finding the Fourth Proportional to 420,719.60, 584,512.44 and 415,675.07

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Solution

The fourth proportional to 420,719.60, 584,512.44 and 415,675.07 is: 577,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,719.60 : 584,512.44 = 415,675.07 : x
  2. Step 2: Convert to fraction form
    420,719.60/584,512.44 = 415,675.07/x
  3. Step 3: Cross multiply
    420,719.60x = 584,512.44 × 415,675.07
  4. Step 4: Simplify right side
    420,719.60x = 242,967,249,412.87
  5. Step 5: Solve for x
    x = 242,967,249,412.87/420,719.60
  6. Step 6: Final answer
    x = 577,503.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.