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Finding the Fourth Proportional to 520,029.40, 729,615.80 and 520,029.40

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Solution

The fourth proportional to 520,029.40, 729,615.80 and 520,029.40 is: 729,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,029.40 : 729,615.80 = 520,029.40 : x
  2. Step 2: Convert to fraction form
    520,029.40/729,615.80 = 520,029.40/x
  3. Step 3: Cross multiply
    520,029.40x = 729,615.80 × 520,029.40
  4. Step 4: Simplify right side
    520,029.40x = 379,421,666,704.52
  5. Step 5: Solve for x
    x = 379,421,666,704.52/520,029.40
  6. Step 6: Final answer
    x = 729,615.80

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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.