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Finding the Fourth Proportional to 1,428,931.78, 1,971,028.88 and 847,743.44

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Solution

The fourth proportional to 1,428,931.78, 1,971,028.88 and 847,743.44 is: 1,169,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,931.78 : 1,971,028.88 = 847,743.44 : x
  2. Step 2: Convert to fraction form
    1,428,931.78/1,971,028.88 = 847,743.44/x
  3. Step 3: Cross multiply
    1,428,931.78x = 1,971,028.88 × 847,743.44
  4. Step 4: Simplify right side
    1,428,931.78x = 1,670,926,803,070.55
  5. Step 5: Solve for x
    x = 1,670,926,803,070.55/1,428,931.78
  6. Step 6: Final answer
    x = 1,169,353.80

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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.