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Finding the Fourth Proportional to 296,283.72, 408,868.47 and 160,314.67

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Solution

The fourth proportional to 296,283.72, 408,868.47 and 160,314.67 is: 221,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,283.72 : 408,868.47 = 160,314.67 : x
  2. Step 2: Convert to fraction form
    296,283.72/408,868.47 = 160,314.67/x
  3. Step 3: Cross multiply
    296,283.72x = 408,868.47 × 160,314.67
  4. Step 4: Simplify right side
    296,283.72x = 65,547,613,841.45
  5. Step 5: Solve for x
    x = 65,547,613,841.45/296,283.72
  6. Step 6: Final answer
    x = 221,232.59

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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.