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Finding the Fourth Proportional to 1,778,698, 2,668,053.75 and 430,858

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Solution

The fourth proportional to 1,778,698, 2,668,053.75 and 430,858 is: 646,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,698 : 2,668,053.75 = 430,858 : x
  2. Step 2: Convert to fraction form
    1,778,698/2,668,053.75 = 430,858/x
  3. Step 3: Cross multiply
    1,778,698x = 2,668,053.75 × 430,858
  4. Step 4: Simplify right side
    1,778,698x = 1,149,552,302,617.50
  5. Step 5: Solve for x
    x = 1,149,552,302,617.50/1,778,698
  6. Step 6: Final answer
    x = 646,288.64

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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.