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Finding the Fourth Proportional to 420,117.63, 579,762.32 and 229,132.38

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Solution

The fourth proportional to 420,117.63, 579,762.32 and 229,132.38 is: 316,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,117.63 : 579,762.32 = 229,132.38 : x
  2. Step 2: Convert to fraction form
    420,117.63/579,762.32 = 229,132.38/x
  3. Step 3: Cross multiply
    420,117.63x = 579,762.32 × 229,132.38
  4. Step 4: Simplify right side
    420,117.63x = 132,842,320,215.92
  5. Step 5: Solve for x
    x = 132,842,320,215.92/420,117.63
  6. Step 6: Final answer
    x = 316,202.68

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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.