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Finding the Fourth Proportional to 255,105.30, 382,657.95 and 224,001.30

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Solution

The fourth proportional to 255,105.30, 382,657.95 and 224,001.30 is: 336,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,105.30 : 382,657.95 = 224,001.30 : x
  2. Step 2: Convert to fraction form
    255,105.30/382,657.95 = 224,001.30/x
  3. Step 3: Cross multiply
    255,105.30x = 382,657.95 × 224,001.30
  4. Step 4: Simplify right side
    255,105.30x = 85,715,878,255.34
  5. Step 5: Solve for x
    x = 85,715,878,255.34/255,105.30
  6. Step 6: Final answer
    x = 336,001.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.