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Finding the Fourth Proportional to 448,065.80, 672,098.70 and 413,851.40

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Solution

The fourth proportional to 448,065.80, 672,098.70 and 413,851.40 is: 620,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,065.80 : 672,098.70 = 413,851.40 : x
  2. Step 2: Convert to fraction form
    448,065.80/672,098.70 = 413,851.40/x
  3. Step 3: Cross multiply
    448,065.80x = 672,098.70 × 413,851.40
  4. Step 4: Simplify right side
    448,065.80x = 278,148,987,933.18
  5. Step 5: Solve for x
    x = 278,148,987,933.18/448,065.80
  6. Step 6: Final answer
    x = 620,777.10

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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.