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Finding the Fourth Proportional to 601,429, 829,972.02 and 333,157

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Solution

The fourth proportional to 601,429, 829,972.02 and 333,157 is: 459,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,429 : 829,972.02 = 333,157 : x
  2. Step 2: Convert to fraction form
    601,429/829,972.02 = 333,157/x
  3. Step 3: Cross multiply
    601,429x = 829,972.02 × 333,157
  4. Step 4: Simplify right side
    601,429x = 276,510,988,267.14
  5. Step 5: Solve for x
    x = 276,510,988,267.14/601,429
  6. Step 6: Final answer
    x = 459,756.66

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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.