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Finding the Fourth Proportional to 543,714.27, 750,334.95 and 298,709.34

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Solution

The fourth proportional to 543,714.27, 750,334.95 and 298,709.34 is: 412,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,714.27 : 750,334.95 = 298,709.34 : x
  2. Step 2: Convert to fraction form
    543,714.27/750,334.95 = 298,709.34/x
  3. Step 3: Cross multiply
    543,714.27x = 750,334.95 × 298,709.34
  4. Step 4: Simplify right side
    543,714.27x = 224,132,057,693.43
  5. Step 5: Solve for x
    x = 224,132,057,693.43/543,714.27
  6. Step 6: Final answer
    x = 412,223.98

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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.