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Finding the Fourth Proportional to 340,703.78, 510,573.71 and 188,968.10

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Solution

The fourth proportional to 340,703.78, 510,573.71 and 188,968.10 is: 283,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,703.78 : 510,573.71 = 188,968.10 : x
  2. Step 2: Convert to fraction form
    340,703.78/510,573.71 = 188,968.10/x
  3. Step 3: Cross multiply
    340,703.78x = 510,573.71 × 188,968.10
  4. Step 4: Simplify right side
    340,703.78x = 96,482,145,637.51
  5. Step 5: Solve for x
    x = 96,482,145,637.51/340,703.78
  6. Step 6: Final answer
    x = 283,184.84

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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.