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Finding the Fourth Proportional to 420,373.94, 579,964.46 and 323,607.38

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Solution

The fourth proportional to 420,373.94, 579,964.46 and 323,607.38 is: 446,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,373.94 : 579,964.46 = 323,607.38 : x
  2. Step 2: Convert to fraction form
    420,373.94/579,964.46 = 323,607.38/x
  3. Step 3: Cross multiply
    420,373.94x = 579,964.46 × 323,607.38
  4. Step 4: Simplify right side
    420,373.94x = 187,680,774,875.86
  5. Step 5: Solve for x
    x = 187,680,774,875.86/420,373.94
  6. Step 6: Final answer
    x = 446,461.49

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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.