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Finding the Fourth Proportional to 334,995.20, 502,492.80 and 193,277.60

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Solution

The fourth proportional to 334,995.20, 502,492.80 and 193,277.60 is: 289,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,995.20 : 502,492.80 = 193,277.60 : x
  2. Step 2: Convert to fraction form
    334,995.20/502,492.80 = 193,277.60/x
  3. Step 3: Cross multiply
    334,995.20x = 502,492.80 × 193,277.60
  4. Step 4: Simplify right side
    334,995.20x = 97,120,602,401.28
  5. Step 5: Solve for x
    x = 97,120,602,401.28/334,995.20
  6. Step 6: Final answer
    x = 289,916.40

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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.