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Finding the Fourth Proportional to 300,051.84, 414,115.02 and 172,726.32

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Solution

The fourth proportional to 300,051.84, 414,115.02 and 172,726.32 is: 238,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,051.84 : 414,115.02 = 172,726.32 : x
  2. Step 2: Convert to fraction form
    300,051.84/414,115.02 = 172,726.32/x
  3. Step 3: Cross multiply
    300,051.84x = 414,115.02 × 172,726.32
  4. Step 4: Simplify right side
    300,051.84x = 71,528,563,461.33
  5. Step 5: Solve for x
    x = 71,528,563,461.33/300,051.84
  6. Step 6: Final answer
    x = 238,387.35

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1.5x scale

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.