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Finding the Fourth Proportional to 546,515.60, 820,387.80 and 422,406.80

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Solution

The fourth proportional to 546,515.60, 820,387.80 and 422,406.80 is: 634,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,515.60 : 820,387.80 = 422,406.80 : x
  2. Step 2: Convert to fraction form
    546,515.60/820,387.80 = 422,406.80/x
  3. Step 3: Cross multiply
    546,515.60x = 820,387.80 × 422,406.80
  4. Step 4: Simplify right side
    546,515.60x = 346,537,385,357.04
  5. Step 5: Solve for x
    x = 346,537,385,357.04/546,515.60
  6. Step 6: Final answer
    x = 634,085.08

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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.