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Finding the Fourth Proportional to 651,153.66, 977,063.88 and 309,983.22

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Solution

The fourth proportional to 651,153.66, 977,063.88 and 309,983.22 is: 465,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,153.66 : 977,063.88 = 309,983.22 : x
  2. Step 2: Convert to fraction form
    651,153.66/977,063.88 = 309,983.22/x
  3. Step 3: Cross multiply
    651,153.66x = 977,063.88 × 309,983.22
  4. Step 4: Simplify right side
    651,153.66x = 302,873,407,668.09
  5. Step 5: Solve for x
    x = 302,873,407,668.09/651,153.66
  6. Step 6: Final answer
    x = 465,133.54

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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.