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Finding the Fourth Proportional to 586,730.51, 809,549.32 and 332,081.70

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Solution

The fourth proportional to 586,730.51, 809,549.32 and 332,081.70 is: 458,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,730.51 : 809,549.32 = 332,081.70 : x
  2. Step 2: Convert to fraction form
    586,730.51/809,549.32 = 332,081.70/x
  3. Step 3: Cross multiply
    586,730.51x = 809,549.32 × 332,081.70
  4. Step 4: Simplify right side
    586,730.51x = 268,836,514,419.44
  5. Step 5: Solve for x
    x = 268,836,514,419.44/586,730.51
  6. Step 6: Final answer
    x = 458,194.20

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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.