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Finding the Fourth Proportional to 397,520.16, 596,531.61 and 360,155.58

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Solution

The fourth proportional to 397,520.16, 596,531.61 and 360,155.58 is: 540,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,520.16 : 596,531.61 = 360,155.58 : x
  2. Step 2: Convert to fraction form
    397,520.16/596,531.61 = 360,155.58/x
  3. Step 3: Cross multiply
    397,520.16x = 596,531.61 × 360,155.58
  4. Step 4: Simplify right side
    397,520.16x = 214,844,187,987.88
  5. Step 5: Solve for x
    x = 214,844,187,987.88/397,520.16
  6. Step 6: Final answer
    x = 540,461.11

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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.