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Finding the Fourth Proportional to 1,297,741.07, 1,946,611.20 and 944,999.84

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Solution

The fourth proportional to 1,297,741.07, 1,946,611.20 and 944,999.84 is: 1,417,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,741.07 : 1,946,611.20 = 944,999.84 : x
  2. Step 2: Convert to fraction form
    1,297,741.07/1,946,611.20 = 944,999.84/x
  3. Step 3: Cross multiply
    1,297,741.07x = 1,946,611.20 × 944,999.84
  4. Step 4: Simplify right side
    1,297,741.07x = 1,839,547,272,542.21
  5. Step 5: Solve for x
    x = 1,839,547,272,542.21/1,297,741.07
  6. Step 6: Final answer
    x = 1,417,499.47

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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.