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Finding the Fourth Proportional to 296,303.63, 408,900.09 and 160,337.57

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Solution

The fourth proportional to 296,303.63, 408,900.09 and 160,337.57 is: 221,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,303.63 : 408,900.09 = 160,337.57 : x
  2. Step 2: Convert to fraction form
    296,303.63/408,900.09 = 160,337.57/x
  3. Step 3: Cross multiply
    296,303.63x = 408,900.09 × 160,337.57
  4. Step 4: Simplify right side
    296,303.63x = 65,562,046,001.69
  5. Step 5: Solve for x
    x = 65,562,046,001.69/296,303.63
  6. Step 6: Final answer
    x = 221,266.43

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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.