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Finding the Fourth Proportional to 518,810.40, 778,215.60 and 413,834.40

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Solution

The fourth proportional to 518,810.40, 778,215.60 and 413,834.40 is: 620,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,810.40 : 778,215.60 = 413,834.40 : x
  2. Step 2: Convert to fraction form
    518,810.40/778,215.60 = 413,834.40/x
  3. Step 3: Cross multiply
    518,810.40x = 778,215.60 × 413,834.40
  4. Step 4: Simplify right side
    518,810.40x = 322,052,385,896.64
  5. Step 5: Solve for x
    x = 322,052,385,896.64/518,810.40
  6. Step 6: Final answer
    x = 620,751.60

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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.