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Finding the Fourth Proportional to 357,330.42, 535,294.89 and 207,255.42

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Solution

The fourth proportional to 357,330.42, 535,294.89 and 207,255.42 is: 310,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,330.42 : 535,294.89 = 207,255.42 : x
  2. Step 2: Convert to fraction form
    357,330.42/535,294.89 = 207,255.42/x
  3. Step 3: Cross multiply
    357,330.42x = 535,294.89 × 207,255.42
  4. Step 4: Simplify right side
    357,330.42x = 110,942,767,250.80
  5. Step 5: Solve for x
    x = 110,942,767,250.80/357,330.42
  6. Step 6: Final answer
    x = 310,476.69

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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.