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Finding the Fourth Proportional to 601,218, 829,681.08 and 332,946

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Solution

The fourth proportional to 601,218, 829,681.08 and 332,946 is: 459,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,218 : 829,681.08 = 332,946 : x
  2. Step 2: Convert to fraction form
    601,218/829,681.08 = 332,946/x
  3. Step 3: Cross multiply
    601,218x = 829,681.08 × 332,946
  4. Step 4: Simplify right side
    601,218x = 276,238,996,861.68
  5. Step 5: Solve for x
    x = 276,238,996,861.68/601,218
  6. Step 6: Final answer
    x = 459,465.61

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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.