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Finding the Fourth Proportional to 586,746.37, 809,712.62 and 332,146.77

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Solution

The fourth proportional to 586,746.37, 809,712.62 and 332,146.77 is: 458,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,746.37 : 809,712.62 = 332,146.77 : x
  2. Step 2: Convert to fraction form
    586,746.37/809,712.62 = 332,146.77/x
  3. Step 3: Cross multiply
    586,746.37x = 809,712.62 × 332,146.77
  4. Step 4: Simplify right side
    586,746.37x = 268,943,431,361.24
  5. Step 5: Solve for x
    x = 268,943,431,361.24/586,746.37
  6. Step 6: Final answer
    x = 458,364.03

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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.