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Finding the Fourth Proportional to 1,416,578.83, 1,954,821.74 and 771,985.18

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Solution

The fourth proportional to 1,416,578.83, 1,954,821.74 and 771,985.18 is: 1,065,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,578.83 : 1,954,821.74 = 771,985.18 : x
  2. Step 2: Convert to fraction form
    1,416,578.83/1,954,821.74 = 771,985.18/x
  3. Step 3: Cross multiply
    1,416,578.83x = 1,954,821.74 × 771,985.18
  4. Step 4: Simplify right side
    1,416,578.83x = 1,509,093,411,405.41
  5. Step 5: Solve for x
    x = 1,509,093,411,405.41/1,416,578.83
  6. Step 6: Final answer
    x = 1,065,308.46

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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.