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Finding the Fourth Proportional to 570,832, 787,748.16 and 316,199.68

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Solution

The fourth proportional to 570,832, 787,748.16 and 316,199.68 is: 436,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,832 : 787,748.16 = 316,199.68 : x
  2. Step 2: Convert to fraction form
    570,832/787,748.16 = 316,199.68/x
  3. Step 3: Cross multiply
    570,832x = 787,748.16 × 316,199.68
  4. Step 4: Simplify right side
    570,832x = 249,085,716,112.59
  5. Step 5: Solve for x
    x = 249,085,716,112.59/570,832
  6. Step 6: Final answer
    x = 436,355.56

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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.