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Finding the Fourth Proportional to 520,107.40, 778,848.90 and 415,131.40

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Solution

The fourth proportional to 520,107.40, 778,848.90 and 415,131.40 is: 621,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,107.40 : 778,848.90 = 415,131.40 : x
  2. Step 2: Convert to fraction form
    520,107.40/778,848.90 = 415,131.40/x
  3. Step 3: Cross multiply
    520,107.40x = 778,848.90 × 415,131.40
  4. Step 4: Simplify right side
    520,107.40x = 323,324,634,245.46
  5. Step 5: Solve for x
    x = 323,324,634,245.46/520,107.40
  6. Step 6: Final answer
    x = 621,649.75

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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.