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Finding the Fourth Proportional to 463,798.09, 695,615.12 and 211,019.16

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Solution

The fourth proportional to 463,798.09, 695,615.12 and 211,019.16 is: 316,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,798.09 : 695,615.12 = 211,019.16 : x
  2. Step 2: Convert to fraction form
    463,798.09/695,615.12 = 211,019.16/x
  3. Step 3: Cross multiply
    463,798.09x = 695,615.12 × 211,019.16
  4. Step 4: Simplify right side
    463,798.09x = 146,788,118,305.70
  5. Step 5: Solve for x
    x = 146,788,118,305.70/463,798.09
  6. Step 6: Final answer
    x = 316,491.42

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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.