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Finding the Fourth Proportional to 296,677.76, 409,417.27 and 160,711.71

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Solution

The fourth proportional to 296,677.76, 409,417.27 and 160,711.71 is: 221,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,677.76 : 409,417.27 = 160,711.71 : x
  2. Step 2: Convert to fraction form
    296,677.76/409,417.27 = 160,711.71/x
  3. Step 3: Cross multiply
    296,677.76x = 409,417.27 × 160,711.71
  4. Step 4: Simplify right side
    296,677.76x = 65,798,147,628.14
  5. Step 5: Solve for x
    x = 65,798,147,628.14/296,677.76
  6. Step 6: Final answer
    x = 221,783.22

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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.