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Finding the Fourth Proportional to 362,104.64, 499,929.82 and 339,510.50

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Solution

The fourth proportional to 362,104.64, 499,929.82 and 339,510.50 is: 468,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,104.64 : 499,929.82 = 339,510.50 : x
  2. Step 2: Convert to fraction form
    362,104.64/499,929.82 = 339,510.50/x
  3. Step 3: Cross multiply
    362,104.64x = 499,929.82 × 339,510.50
  4. Step 4: Simplify right side
    362,104.64x = 169,731,423,153.11
  5. Step 5: Solve for x
    x = 169,731,423,153.11/362,104.64
  6. Step 6: Final answer
    x = 468,735.84

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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.