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Finding the Fourth Proportional to 471,656.60, 707,484.90 and 282,699.80

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Solution

The fourth proportional to 471,656.60, 707,484.90 and 282,699.80 is: 424,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,656.60 : 707,484.90 = 282,699.80 : x
  2. Step 2: Convert to fraction form
    471,656.60/707,484.90 = 282,699.80/x
  3. Step 3: Cross multiply
    471,656.60x = 707,484.90 × 282,699.80
  4. Step 4: Simplify right side
    471,656.60x = 200,005,839,733.02
  5. Step 5: Solve for x
    x = 200,005,839,733.02/471,656.60
  6. Step 6: Final answer
    x = 424,049.70

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Why These Related Problems?

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