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Finding the Fourth Proportional to 585,460.32, 877,592.26 and 332,205.81

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Solution

The fourth proportional to 585,460.32, 877,592.26 and 332,205.81 is: 497,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,460.32 : 877,592.26 = 332,205.81 : x
  2. Step 2: Convert to fraction form
    585,460.32/877,592.26 = 332,205.81/x
  3. Step 3: Cross multiply
    585,460.32x = 877,592.26 × 332,205.81
  4. Step 4: Simplify right side
    585,460.32x = 291,541,247,583.03
  5. Step 5: Solve for x
    x = 291,541,247,583.03/585,460.32
  6. Step 6: Final answer
    x = 497,969.27

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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.