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Finding the Fourth Proportional to 520,035.54, 779,415.30 and 295,584

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Solution

The fourth proportional to 520,035.54, 779,415.30 and 295,584 is: 443,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,035.54 : 779,415.30 = 295,584 : x
  2. Step 2: Convert to fraction form
    520,035.54/779,415.30 = 295,584/x
  3. Step 3: Cross multiply
    520,035.54x = 779,415.30 × 295,584
  4. Step 4: Simplify right side
    520,035.54x = 230,382,692,035.20
  5. Step 5: Solve for x
    x = 230,382,692,035.20/520,035.54
  6. Step 6: Final answer
    x = 443,013.36

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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.