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Finding the Fourth Proportional to 630,780, 946,563.66 and 256,803

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Solution

The fourth proportional to 630,780, 946,563.66 and 256,803 is: 385,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,780 : 946,563.66 = 256,803 : x
  2. Step 2: Convert to fraction form
    630,780/946,563.66 = 256,803/x
  3. Step 3: Cross multiply
    630,780x = 946,563.66 × 256,803
  4. Step 4: Simplify right side
    630,780x = 243,080,387,578.98
  5. Step 5: Solve for x
    x = 243,080,387,578.98/630,780
  6. Step 6: Final answer
    x = 385,364.77

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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.