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Finding the Fourth Proportional to 380,412.56, 524,969.24 and 210,646.64

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Solution

The fourth proportional to 380,412.56, 524,969.24 and 210,646.64 is: 290,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,412.56 : 524,969.24 = 210,646.64 : x
  2. Step 2: Convert to fraction form
    380,412.56/524,969.24 = 210,646.64/x
  3. Step 3: Cross multiply
    380,412.56x = 524,969.24 × 210,646.64
  4. Step 4: Simplify right side
    380,412.56x = 110,583,006,509.35
  5. Step 5: Solve for x
    x = 110,583,006,509.35/380,412.56
  6. Step 6: Final answer
    x = 290,692.31

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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.