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Finding the Fourth Proportional to 334,421.60, 501,632.40 and 156,946.55

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Solution

The fourth proportional to 334,421.60, 501,632.40 and 156,946.55 is: 235,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,421.60 : 501,632.40 = 156,946.55 : x
  2. Step 2: Convert to fraction form
    334,421.60/501,632.40 = 156,946.55/x
  3. Step 3: Cross multiply
    334,421.60x = 501,632.40 × 156,946.55
  4. Step 4: Simplify right side
    334,421.60x = 78,729,474,548.22
  5. Step 5: Solve for x
    x = 78,729,474,548.22/334,421.60
  6. Step 6: Final answer
    x = 235,419.83

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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.