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Finding the Fourth Proportional to 518,640.96, 778,256.52 and 414,124.08

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Solution

The fourth proportional to 518,640.96, 778,256.52 and 414,124.08 is: 621,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,640.96 : 778,256.52 = 414,124.08 : x
  2. Step 2: Convert to fraction form
    518,640.96/778,256.52 = 414,124.08/x
  3. Step 3: Cross multiply
    518,640.96x = 778,256.52 × 414,124.08
  4. Step 4: Simplify right side
    518,640.96x = 322,294,765,349.00
  5. Step 5: Solve for x
    x = 322,294,765,349.00/518,640.96
  6. Step 6: Final answer
    x = 621,421.74

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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.