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Finding the Fourth Proportional to 651,700.36, 976,277.84 and 309,657

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Solution

The fourth proportional to 651,700.36, 976,277.84 and 309,657 is: 463,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,700.36 : 976,277.84 = 309,657 : x
  2. Step 2: Convert to fraction form
    651,700.36/976,277.84 = 309,657/x
  3. Step 3: Cross multiply
    651,700.36x = 976,277.84 × 309,657
  4. Step 4: Simplify right side
    651,700.36x = 302,311,267,100.88
  5. Step 5: Solve for x
    x = 302,311,267,100.88/651,700.36
  6. Step 6: Final answer
    x = 463,880.77

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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.