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Finding the Fourth Proportional to 520,022.40, 778,721.40 and 415,046.40

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Solution

The fourth proportional to 520,022.40, 778,721.40 and 415,046.40 is: 621,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,022.40 : 778,721.40 = 415,046.40 : x
  2. Step 2: Convert to fraction form
    520,022.40/778,721.40 = 415,046.40/x
  3. Step 3: Cross multiply
    520,022.40x = 778,721.40 × 415,046.40
  4. Step 4: Simplify right side
    520,022.40x = 323,205,513,672.96
  5. Step 5: Solve for x
    x = 323,205,513,672.96/520,022.40
  6. Step 6: Final answer
    x = 621,522.29

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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.