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Finding the Fourth Proportional to 397,312.60, 595,968.90 and 210,688.60

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Solution

The fourth proportional to 397,312.60, 595,968.90 and 210,688.60 is: 316,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,312.60 : 595,968.90 = 210,688.60 : x
  2. Step 2: Convert to fraction form
    397,312.60/595,968.90 = 210,688.60/x
  3. Step 3: Cross multiply
    397,312.60x = 595,968.90 × 210,688.60
  4. Step 4: Simplify right side
    397,312.60x = 125,563,853,184.54
  5. Step 5: Solve for x
    x = 125,563,853,184.54/397,312.60
  6. Step 6: Final answer
    x = 316,032.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.