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Finding the Fourth Proportional to 514,030.41, 771,304.82 and 289,640.97

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Solution

The fourth proportional to 514,030.41, 771,304.82 and 289,640.97 is: 434,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,030.41 : 771,304.82 = 289,640.97 : x
  2. Step 2: Convert to fraction form
    514,030.41/771,304.82 = 289,640.97/x
  3. Step 3: Cross multiply
    514,030.41x = 771,304.82 × 289,640.97
  4. Step 4: Simplify right side
    514,030.41x = 223,401,474,782.27
  5. Step 5: Solve for x
    x = 223,401,474,782.27/514,030.41
  6. Step 6: Final answer
    x = 434,607.51

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1.5x scale

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.