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Finding the Fourth Proportional to 601,046, 829,443.48 and 332,774

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Solution

The fourth proportional to 601,046, 829,443.48 and 332,774 is: 459,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,046 : 829,443.48 = 332,774 : x
  2. Step 2: Convert to fraction form
    601,046/829,443.48 = 332,774/x
  3. Step 3: Cross multiply
    601,046x = 829,443.48 × 332,774
  4. Step 4: Simplify right side
    601,046x = 276,017,224,613.52
  5. Step 5: Solve for x
    x = 276,017,224,613.52/601,046
  6. Step 6: Final answer
    x = 459,228.12

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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.