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Finding the Fourth Proportional to 519,686.40, 779,529.60 and 414,710.40

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Solution

The fourth proportional to 519,686.40, 779,529.60 and 414,710.40 is: 622,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,686.40 : 779,529.60 = 414,710.40 : x
  2. Step 2: Convert to fraction form
    519,686.40/779,529.60 = 414,710.40/x
  3. Step 3: Cross multiply
    519,686.40x = 779,529.60 × 414,710.40
  4. Step 4: Simplify right side
    519,686.40x = 323,279,032,227.84
  5. Step 5: Solve for x
    x = 323,279,032,227.84/519,686.40
  6. Step 6: Final answer
    x = 622,065.60

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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.