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Finding the Fourth Proportional to 553,300.20, 829,950.30 and 520,057.80

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Solution

The fourth proportional to 553,300.20, 829,950.30 and 520,057.80 is: 780,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,300.20 : 829,950.30 = 520,057.80 : x
  2. Step 2: Convert to fraction form
    553,300.20/829,950.30 = 520,057.80/x
  3. Step 3: Cross multiply
    553,300.20x = 829,950.30 × 520,057.80
  4. Step 4: Simplify right side
    553,300.20x = 431,622,127,127.34
  5. Step 5: Solve for x
    x = 431,622,127,127.34/553,300.20
  6. Step 6: Final answer
    x = 780,086.70

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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.