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Finding the Fourth Proportional to 380,552, 525,161.76 and 210,797.06

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Solution

The fourth proportional to 380,552, 525,161.76 and 210,797.06 is: 290,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,552 : 525,161.76 = 210,797.06 : x
  2. Step 2: Convert to fraction form
    380,552/525,161.76 = 210,797.06/x
  3. Step 3: Cross multiply
    380,552x = 525,161.76 × 210,797.06
  4. Step 4: Simplify right side
    380,552x = 110,702,555,032.43
  5. Step 5: Solve for x
    x = 110,702,555,032.43/380,552
  6. Step 6: Final answer
    x = 290,899.94

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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.