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Finding the Fourth Proportional to 357,443.42, 493,148.58 and 228,457.38

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Solution

The fourth proportional to 357,443.42, 493,148.58 and 228,457.38 is: 315,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,443.42 : 493,148.58 = 228,457.38 : x
  2. Step 2: Convert to fraction form
    357,443.42/493,148.58 = 228,457.38/x
  3. Step 3: Cross multiply
    357,443.42x = 493,148.58 × 228,457.38
  4. Step 4: Simplify right side
    357,443.42x = 112,663,432,537.52
  5. Step 5: Solve for x
    x = 112,663,432,537.52/357,443.42
  6. Step 6: Final answer
    x = 315,192.36

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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.