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Finding the Fourth Proportional to 633,830, 950,746.62 and 160,515.40

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Solution

The fourth proportional to 633,830, 950,746.62 and 160,515.40 is: 240,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,830 : 950,746.62 = 160,515.40 : x
  2. Step 2: Convert to fraction form
    633,830/950,746.62 = 160,515.40/x
  3. Step 3: Cross multiply
    633,830x = 950,746.62 × 160,515.40
  4. Step 4: Simplify right side
    633,830x = 152,609,474,007.95
  5. Step 5: Solve for x
    x = 152,609,474,007.95/633,830
  6. Step 6: Final answer
    x = 240,773.51

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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.