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Finding the Fourth Proportional to 380,550, 525,159 and 210,795.08

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Solution

The fourth proportional to 380,550, 525,159 and 210,795.08 is: 290,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,550 : 525,159 = 210,795.08 : x
  2. Step 2: Convert to fraction form
    380,550/525,159 = 210,795.08/x
  3. Step 3: Cross multiply
    380,550x = 525,159 × 210,795.08
  4. Step 4: Simplify right side
    380,550x = 110,700,933,417.72
  5. Step 5: Solve for x
    x = 110,700,933,417.72/380,550
  6. Step 6: Final answer
    x = 290,897.21

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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.