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Finding the Fourth Proportional to 491,568.19, 678,001.93 and 370,714.57

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Solution

The fourth proportional to 491,568.19, 678,001.93 and 370,714.57 is: 511,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,568.19 : 678,001.93 = 370,714.57 : x
  2. Step 2: Convert to fraction form
    491,568.19/678,001.93 = 370,714.57/x
  3. Step 3: Cross multiply
    491,568.19x = 678,001.93 × 370,714.57
  4. Step 4: Simplify right side
    491,568.19x = 251,345,193,939.12
  5. Step 5: Solve for x
    x = 251,345,193,939.12/491,568.19
  6. Step 6: Final answer
    x = 511,312.98

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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.