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Finding the Fourth Proportional to 432,105.63, 596,412.54 and 262,481.91

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Solution

The fourth proportional to 432,105.63, 596,412.54 and 262,481.91 is: 362,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,105.63 : 596,412.54 = 262,481.91 : x
  2. Step 2: Convert to fraction form
    432,105.63/596,412.54 = 262,481.91/x
  3. Step 3: Cross multiply
    432,105.63x = 596,412.54 × 262,481.91
  4. Step 4: Simplify right side
    432,105.63x = 156,547,502,647.15
  5. Step 5: Solve for x
    x = 156,547,502,647.15/432,105.63
  6. Step 6: Final answer
    x = 362,289.89

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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.