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Finding the Fourth Proportional to 1,295,904.90, 1,943,857.35 and 822,929.70

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Solution

The fourth proportional to 1,295,904.90, 1,943,857.35 and 822,929.70 is: 1,234,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,904.90 : 1,943,857.35 = 822,929.70 : x
  2. Step 2: Convert to fraction form
    1,295,904.90/1,943,857.35 = 822,929.70/x
  3. Step 3: Cross multiply
    1,295,904.90x = 1,943,857.35 × 822,929.70
  4. Step 4: Simplify right side
    1,295,904.90x = 1,599,657,945,878.30
  5. Step 5: Solve for x
    x = 1,599,657,945,878.30/1,295,904.90
  6. Step 6: Final answer
    x = 1,234,394.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.