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Finding the Fourth Proportional to 296,283.85, 408,868.64 and 160,314.80

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Solution

The fourth proportional to 296,283.85, 408,868.64 and 160,314.80 is: 221,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,283.85 : 408,868.64 = 160,314.80 : x
  2. Step 2: Convert to fraction form
    296,283.85/408,868.64 = 160,314.80/x
  3. Step 3: Cross multiply
    296,283.85x = 408,868.64 × 160,314.80
  4. Step 4: Simplify right side
    296,283.85x = 65,547,692,203.53
  5. Step 5: Solve for x
    x = 65,547,692,203.53/296,283.85
  6. Step 6: Final answer
    x = 221,232.75

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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.