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Finding the Fourth Proportional to 296,497.08, 409,162.94 and 160,527.40

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Solution

The fourth proportional to 296,497.08, 409,162.94 and 160,527.40 is: 221,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,497.08 : 409,162.94 = 160,527.40 : x
  2. Step 2: Convert to fraction form
    296,497.08/409,162.94 = 160,527.40/x
  3. Step 3: Cross multiply
    296,497.08x = 409,162.94 × 160,527.40
  4. Step 4: Simplify right side
    296,497.08x = 65,681,862,934.56
  5. Step 5: Solve for x
    x = 65,681,862,934.56/296,497.08
  6. Step 6: Final answer
    x = 221,526.17

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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.