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Finding the Fourth Proportional to 784,730, 1,082,931.72 and 427,034

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Solution

The fourth proportional to 784,730, 1,082,931.72 and 427,034 is: 589,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,730 : 1,082,931.72 = 427,034 : x
  2. Step 2: Convert to fraction form
    784,730/1,082,931.72 = 427,034/x
  3. Step 3: Cross multiply
    784,730x = 1,082,931.72 × 427,034
  4. Step 4: Simplify right side
    784,730x = 462,448,664,118.48
  5. Step 5: Solve for x
    x = 462,448,664,118.48/784,730
  6. Step 6: Final answer
    x = 589,309.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.