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Finding the Fourth Proportional to 296,501.64, 409,172.50 and 160,535.64

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Solution

The fourth proportional to 296,501.64, 409,172.50 and 160,535.64 is: 221,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,501.64 : 409,172.50 = 160,535.64 : x
  2. Step 2: Convert to fraction form
    296,501.64/409,172.50 = 160,535.64/x
  3. Step 3: Cross multiply
    296,501.64x = 409,172.50 × 160,535.64
  4. Step 4: Simplify right side
    296,501.64x = 65,686,769,157.90
  5. Step 5: Solve for x
    x = 65,686,769,157.90/296,501.64
  6. Step 6: Final answer
    x = 221,539.31

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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.