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Finding the Fourth Proportional to 536,537.10, 804,913.65 and 157,457.10

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Solution

The fourth proportional to 536,537.10, 804,913.65 and 157,457.10 is: 236,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,537.10 : 804,913.65 = 157,457.10 : x
  2. Step 2: Convert to fraction form
    536,537.10/804,913.65 = 157,457.10/x
  3. Step 3: Cross multiply
    536,537.10x = 804,913.65 × 157,457.10
  4. Step 4: Simplify right side
    536,537.10x = 126,739,369,079.42
  5. Step 5: Solve for x
    x = 126,739,369,079.42/536,537.10
  6. Step 6: Final answer
    x = 236,217.34

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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.