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Finding the Fourth Proportional to 380,548, 525,156.24 and 210,793.08

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Solution

The fourth proportional to 380,548, 525,156.24 and 210,793.08 is: 290,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,548 : 525,156.24 = 210,793.08 : x
  2. Step 2: Convert to fraction form
    380,548/525,156.24 = 210,793.08/x
  3. Step 3: Cross multiply
    380,548x = 525,156.24 × 210,793.08
  4. Step 4: Simplify right side
    380,548x = 110,699,301,310.82
  5. Step 5: Solve for x
    x = 110,699,301,310.82/380,548
  6. Step 6: Final answer
    x = 290,894.45

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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.