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Finding the Fourth Proportional to 334,987.94, 502,373.90 and 110,294.86

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Solution

The fourth proportional to 334,987.94, 502,373.90 and 110,294.86 is: 165,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,987.94 : 502,373.90 = 110,294.86 : x
  2. Step 2: Convert to fraction form
    334,987.94/502,373.90 = 110,294.86/x
  3. Step 3: Cross multiply
    334,987.94x = 502,373.90 × 110,294.86
  4. Step 4: Simplify right side
    334,987.94x = 55,409,258,968.15
  5. Step 5: Solve for x
    x = 55,409,258,968.15/334,987.94
  6. Step 6: Final answer
    x = 165,406.73

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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.