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Finding the Fourth Proportional to 984,492, 1,358,599.50 and 531,783

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Solution

The fourth proportional to 984,492, 1,358,599.50 and 531,783 is: 733,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,492 : 1,358,599.50 = 531,783 : x
  2. Step 2: Convert to fraction form
    984,492/1,358,599.50 = 531,783/x
  3. Step 3: Cross multiply
    984,492x = 1,358,599.50 × 531,783
  4. Step 4: Simplify right side
    984,492x = 722,480,117,908.50
  5. Step 5: Solve for x
    x = 722,480,117,908.50/984,492
  6. Step 6: Final answer
    x = 733,860.83

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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.