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Finding the Fourth Proportional to 397,126.40, 595,689.60 and 313,145.60

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Solution

The fourth proportional to 397,126.40, 595,689.60 and 313,145.60 is: 469,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,126.40 : 595,689.60 = 313,145.60 : x
  2. Step 2: Convert to fraction form
    397,126.40/595,689.60 = 313,145.60/x
  3. Step 3: Cross multiply
    397,126.40x = 595,689.60 × 313,145.60
  4. Step 4: Simplify right side
    397,126.40x = 186,537,577,205.76
  5. Step 5: Solve for x
    x = 186,537,577,205.76/397,126.40
  6. Step 6: Final answer
    x = 469,718.40

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