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Finding the Fourth Proportional to 570,410.96, 787,167.36 and 312,304.64

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Solution

The fourth proportional to 570,410.96, 787,167.36 and 312,304.64 is: 430,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,410.96 : 787,167.36 = 312,304.64 : x
  2. Step 2: Convert to fraction form
    570,410.96/787,167.36 = 312,304.64/x
  3. Step 3: Cross multiply
    570,410.96x = 787,167.36 × 312,304.64
  4. Step 4: Simplify right side
    570,410.96x = 245,836,018,984.55
  5. Step 5: Solve for x
    x = 245,836,018,984.55/570,410.96
  6. Step 6: Final answer
    x = 430,980.53

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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.