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Finding the Fourth Proportional to 737,499, 1,106,678.70 and 311,008.44

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Solution

The fourth proportional to 737,499, 1,106,678.70 and 311,008.44 is: 466,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,499 : 1,106,678.70 = 311,008.44 : x
  2. Step 2: Convert to fraction form
    737,499/1,106,678.70 = 311,008.44/x
  3. Step 3: Cross multiply
    737,499x = 1,106,678.70 × 311,008.44
  4. Step 4: Simplify right side
    737,499x = 344,186,416,068.23
  5. Step 5: Solve for x
    x = 344,186,416,068.23/737,499
  6. Step 6: Final answer
    x = 466,694.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.