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Finding the Fourth Proportional to 601,056, 829,483.20 and 332,784

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Solution

The fourth proportional to 601,056, 829,483.20 and 332,784 is: 459,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,056 : 829,483.20 = 332,784 : x
  2. Step 2: Convert to fraction form
    601,056/829,483.20 = 332,784/x
  3. Step 3: Cross multiply
    601,056x = 829,483.20 × 332,784
  4. Step 4: Simplify right side
    601,056x = 276,038,737,228.80
  5. Step 5: Solve for x
    x = 276,038,737,228.80/601,056
  6. Step 6: Final answer
    x = 459,256.27

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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.