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Finding the Fourth Proportional to 1,464,613, 2,021,196.66 and 828,709

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Solution

The fourth proportional to 1,464,613, 2,021,196.66 and 828,709 is: 1,143,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,613 : 2,021,196.66 = 828,709 : x
  2. Step 2: Convert to fraction form
    1,464,613/2,021,196.66 = 828,709/x
  3. Step 3: Cross multiply
    1,464,613x = 2,021,196.66 × 828,709
  4. Step 4: Simplify right side
    1,464,613x = 1,674,983,862,911.94
  5. Step 5: Solve for x
    x = 1,674,983,862,911.94/1,464,613
  6. Step 6: Final answer
    x = 1,143,635.80

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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.