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Finding the Fourth Proportional to 722,083.86, 996,342.93 and 416,117.34

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Solution

The fourth proportional to 722,083.86, 996,342.93 and 416,117.34 is: 574,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,083.86 : 996,342.93 = 416,117.34 : x
  2. Step 2: Convert to fraction form
    722,083.86/996,342.93 = 416,117.34/x
  3. Step 3: Cross multiply
    722,083.86x = 996,342.93 × 416,117.34
  4. Step 4: Simplify right side
    722,083.86x = 414,595,569,759.41
  5. Step 5: Solve for x
    x = 414,595,569,759.41/722,083.86
  6. Step 6: Final answer
    x = 574,165.40

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1.5x scale

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.