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Finding the Fourth Proportional to 518,837.40, 778,256.10 and 413,861.40

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Solution

The fourth proportional to 518,837.40, 778,256.10 and 413,861.40 is: 620,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,837.40 : 778,256.10 = 413,861.40 : x
  2. Step 2: Convert to fraction form
    518,837.40/778,256.10 = 413,861.40/x
  3. Step 3: Cross multiply
    518,837.40x = 778,256.10 × 413,861.40
  4. Step 4: Simplify right side
    518,837.40x = 322,090,159,104.54
  5. Step 5: Solve for x
    x = 322,090,159,104.54/518,837.40
  6. Step 6: Final answer
    x = 620,792.10

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Similar ratio
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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.