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Finding the Fourth Proportional to 342,653.64, 514,014.89 and 117,984.35

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Solution

The fourth proportional to 342,653.64, 514,014.89 and 117,984.35 is: 176,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,653.64 : 514,014.89 = 117,984.35 : x
  2. Step 2: Convert to fraction form
    342,653.64/514,014.89 = 117,984.35/x
  3. Step 3: Cross multiply
    342,653.64x = 514,014.89 × 117,984.35
  4. Step 4: Simplify right side
    342,653.64x = 60,645,711,154.42
  5. Step 5: Solve for x
    x = 60,645,711,154.42/342,653.64
  6. Step 6: Final answer
    x = 176,988.37

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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.