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Finding the Fourth Proportional to 520,051.40, 729,055 and 520,051.40

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Solution

The fourth proportional to 520,051.40, 729,055 and 520,051.40 is: 729,055

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,051.40 : 729,055 = 520,051.40 : x
  2. Step 2: Convert to fraction form
    520,051.40/729,055 = 520,051.40/x
  3. Step 3: Cross multiply
    520,051.40x = 729,055 × 520,051.40
  4. Step 4: Simplify right side
    520,051.40x = 379,146,073,427
  5. Step 5: Solve for x
    x = 379,146,073,427/520,051.40
  6. Step 6: Final answer
    x = 729,055

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.