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Finding the Fourth Proportional to 518,054, 714,994 and 314,138.16

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Solution

The fourth proportional to 518,054, 714,994 and 314,138.16 is: 433,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,054 : 714,994 = 314,138.16 : x
  2. Step 2: Convert to fraction form
    518,054/714,994 = 314,138.16/x
  3. Step 3: Cross multiply
    518,054x = 714,994 × 314,138.16
  4. Step 4: Simplify right side
    518,054x = 224,606,899,571.04
  5. Step 5: Solve for x
    x = 224,606,899,571.04/518,054
  6. Step 6: Final answer
    x = 433,558.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.