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Finding the Fourth Proportional to 296,283.35, 408,867.95 and 160,314.30

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Solution

The fourth proportional to 296,283.35, 408,867.95 and 160,314.30 is: 221,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,283.35 : 408,867.95 = 160,314.30 : x
  2. Step 2: Convert to fraction form
    296,283.35/408,867.95 = 160,314.30/x
  3. Step 3: Cross multiply
    296,283.35x = 408,867.95 × 160,314.30
  4. Step 4: Simplify right side
    296,283.35x = 65,547,377,152.35
  5. Step 5: Solve for x
    x = 65,547,377,152.35/296,283.35
  6. Step 6: Final answer
    x = 221,232.06

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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.