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Finding the Fourth Proportional to 520,103.90, 778,843.65 and 415,127.90

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Solution

The fourth proportional to 520,103.90, 778,843.65 and 415,127.90 is: 621,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,103.90 : 778,843.65 = 415,127.90 : x
  2. Step 2: Convert to fraction form
    520,103.90/778,843.65 = 415,127.90/x
  3. Step 3: Cross multiply
    520,103.90x = 778,843.65 × 415,127.90
  4. Step 4: Simplify right side
    520,103.90x = 323,319,728,852.84
  5. Step 5: Solve for x
    x = 323,319,728,852.84/520,103.90
  6. Step 6: Final answer
    x = 621,644.50

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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.