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Finding the Fourth Proportional to 357,294.53, 535,241.12 and 207,219.62

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Solution

The fourth proportional to 357,294.53, 535,241.12 and 207,219.62 is: 310,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,294.53 : 535,241.12 = 207,219.62 : x
  2. Step 2: Convert to fraction form
    357,294.53/535,241.12 = 207,219.62/x
  3. Step 3: Cross multiply
    357,294.53x = 535,241.12 × 207,219.62
  4. Step 4: Simplify right side
    357,294.53x = 110,912,457,782.47
  5. Step 5: Solve for x
    x = 110,912,457,782.47/357,294.53
  6. Step 6: Final answer
    x = 310,423.05

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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.