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Finding the Fourth Proportional to 415,809.40, 623,714.10 and 398,094.70

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Solution

The fourth proportional to 415,809.40, 623,714.10 and 398,094.70 is: 597,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,809.40 : 623,714.10 = 398,094.70 : x
  2. Step 2: Convert to fraction form
    415,809.40/623,714.10 = 398,094.70/x
  3. Step 3: Cross multiply
    415,809.40x = 623,714.10 × 398,094.70
  4. Step 4: Simplify right side
    415,809.40x = 248,297,277,525.27
  5. Step 5: Solve for x
    x = 248,297,277,525.27/415,809.40
  6. Step 6: Final answer
    x = 597,142.05

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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.