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Finding the Fourth Proportional to 463,548.77, 695,431.59 and 143,683.89

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Solution

The fourth proportional to 463,548.77, 695,431.59 and 143,683.89 is: 215,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,548.77 : 695,431.59 = 143,683.89 : x
  2. Step 2: Convert to fraction form
    463,548.77/695,431.59 = 143,683.89/x
  3. Step 3: Cross multiply
    463,548.77x = 695,431.59 × 143,683.89
  4. Step 4: Simplify right side
    463,548.77x = 99,922,316,080.09
  5. Step 5: Solve for x
    x = 99,922,316,080.09/463,548.77
  6. Step 6: Final answer
    x = 215,559.45

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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.