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Finding the Fourth Proportional to 1,409,522.79, 1,946,078.07 and 836,746.95

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Solution

The fourth proportional to 1,409,522.79, 1,946,078.07 and 836,746.95 is: 1,155,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,522.79 : 1,946,078.07 = 836,746.95 : x
  2. Step 2: Convert to fraction form
    1,409,522.79/1,946,078.07 = 836,746.95/x
  3. Step 3: Cross multiply
    1,409,522.79x = 1,946,078.07 × 836,746.95
  4. Step 4: Simplify right side
    1,409,522.79x = 1,628,374,889,534.39
  5. Step 5: Solve for x
    x = 1,628,374,889,534.39/1,409,522.79
  6. Step 6: Final answer
    x = 1,155,266.80

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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.