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Finding the Fourth Proportional to 570,919.14, 787,857.57 and 316,272.42

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Solution

The fourth proportional to 570,919.14, 787,857.57 and 316,272.42 is: 436,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,919.14 : 787,857.57 = 316,272.42 : x
  2. Step 2: Convert to fraction form
    570,919.14/787,857.57 = 316,272.42/x
  3. Step 3: Cross multiply
    570,919.14x = 787,857.57 × 316,272.42
  4. Step 4: Simplify right side
    570,919.14x = 249,177,620,279.22
  5. Step 5: Solve for x
    x = 249,177,620,279.22/570,919.14
  6. Step 6: Final answer
    x = 436,449.93

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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.