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Finding the Fourth Proportional to 380,549, 525,157.62 and 210,794.08

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Solution

The fourth proportional to 380,549, 525,157.62 and 210,794.08 is: 290,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,549 : 525,157.62 = 210,794.08 : x
  2. Step 2: Convert to fraction form
    380,549/525,157.62 = 210,794.08/x
  3. Step 3: Cross multiply
    380,549x = 525,157.62 × 210,794.08
  4. Step 4: Simplify right side
    380,549x = 110,700,117,362.89
  5. Step 5: Solve for x
    x = 110,700,117,362.89/380,549
  6. Step 6: Final answer
    x = 290,895.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.