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Finding the Fourth Proportional to 463,578.96, 695,386.95 and 143,764.04

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Solution

The fourth proportional to 463,578.96, 695,386.95 and 143,764.04 is: 215,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,578.96 : 695,386.95 = 143,764.04 : x
  2. Step 2: Convert to fraction form
    463,578.96/695,386.95 = 143,764.04/x
  3. Step 3: Cross multiply
    463,578.96x = 695,386.95 × 143,764.04
  4. Step 4: Simplify right side
    463,578.96x = 99,971,636,943.19
  5. Step 5: Solve for x
    x = 99,971,636,943.19/463,578.96
  6. Step 6: Final answer
    x = 215,651.80

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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.