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Finding the Fourth Proportional to 518,878, 778,323.48 and 186,454

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Solution

The fourth proportional to 518,878, 778,323.48 and 186,454 is: 279,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,878 : 778,323.48 = 186,454 : x
  2. Step 2: Convert to fraction form
    518,878/778,323.48 = 186,454/x
  3. Step 3: Cross multiply
    518,878x = 778,323.48 × 186,454
  4. Step 4: Simplify right side
    518,878x = 145,121,526,139.92
  5. Step 5: Solve for x
    x = 145,121,526,139.92/518,878
  6. Step 6: Final answer
    x = 279,683.33

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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.