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Finding the Fourth Proportional to 296,330.42, 408,937.00 and 160,364.33

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Solution

The fourth proportional to 296,330.42, 408,937.00 and 160,364.33 is: 221,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,330.42 : 408,937.00 = 160,364.33 : x
  2. Step 2: Convert to fraction form
    296,330.42/408,937.00 = 160,364.33/x
  3. Step 3: Cross multiply
    296,330.42x = 408,937.00 × 160,364.33
  4. Step 4: Simplify right side
    296,330.42x = 65,578,907,706.49
  5. Step 5: Solve for x
    x = 65,578,907,706.49/296,330.42
  6. Step 6: Final answer
    x = 221,303.32

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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.