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Finding the Fourth Proportional to 520,057.40, 778,773.90 and 415,081.40

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Solution

The fourth proportional to 520,057.40, 778,773.90 and 415,081.40 is: 621,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,057.40 : 778,773.90 = 415,081.40 : x
  2. Step 2: Convert to fraction form
    520,057.40/778,773.90 = 415,081.40/x
  3. Step 3: Cross multiply
    520,057.40x = 778,773.90 × 415,081.40
  4. Step 4: Simplify right side
    520,057.40x = 323,254,560,695.46
  5. Step 5: Solve for x
    x = 323,254,560,695.46/520,057.40
  6. Step 6: Final answer
    x = 621,574.77

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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.