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Finding the Fourth Proportional to 357,294.65, 535,241.31 and 207,219.74

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Solution

The fourth proportional to 357,294.65, 535,241.31 and 207,219.74 is: 310,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,294.65 : 535,241.31 = 207,219.74 : x
  2. Step 2: Convert to fraction form
    357,294.65/535,241.31 = 207,219.74/x
  3. Step 3: Cross multiply
    357,294.65x = 535,241.31 × 207,219.74
  4. Step 4: Simplify right side
    357,294.65x = 110,912,565,095.46
  5. Step 5: Solve for x
    x = 110,912,565,095.46/357,294.65
  6. Step 6: Final answer
    x = 310,423.25

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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.