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Finding the Fourth Proportional to 520,095.30, 780,142.95 and 380,127.30

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Solution

The fourth proportional to 520,095.30, 780,142.95 and 380,127.30 is: 570,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,095.30 : 780,142.95 = 380,127.30 : x
  2. Step 2: Convert to fraction form
    520,095.30/780,142.95 = 380,127.30/x
  3. Step 3: Cross multiply
    520,095.30x = 780,142.95 × 380,127.30
  4. Step 4: Simplify right side
    520,095.30x = 296,553,633,197.54
  5. Step 5: Solve for x
    x = 296,553,633,197.54/520,095.30
  6. Step 6: Final answer
    x = 570,190.95

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Similar ratio
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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.