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Finding the Fourth Proportional to 570,825.42, 787,729.23 and 316,171.14

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Solution

The fourth proportional to 570,825.42, 787,729.23 and 316,171.14 is: 436,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,825.42 : 787,729.23 = 316,171.14 : x
  2. Step 2: Convert to fraction form
    570,825.42/787,729.23 = 316,171.14/x
  3. Step 3: Cross multiply
    570,825.42x = 787,729.23 × 316,171.14
  4. Step 4: Simplify right side
    570,825.42x = 249,057,248,660.42
  5. Step 5: Solve for x
    x = 249,057,248,660.42/570,825.42
  6. Step 6: Final answer
    x = 436,310.72

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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.