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Finding the Fourth Proportional to 722,233.51, 996,680.62 and 416,307.86

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Solution

The fourth proportional to 722,233.51, 996,680.62 and 416,307.86 is: 574,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,233.51 : 996,680.62 = 416,307.86 : x
  2. Step 2: Convert to fraction form
    722,233.51/996,680.62 = 416,307.86/x
  3. Step 3: Cross multiply
    722,233.51x = 996,680.62 × 416,307.86
  4. Step 4: Simplify right side
    722,233.51x = 414,925,976,015.67
  5. Step 5: Solve for x
    x = 414,925,976,015.67/722,233.51
  6. Step 6: Final answer
    x = 574,503.91

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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.