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Finding the Fourth Proportional to 1,966,499.14, 2,949,748.70 and 705,212.50

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Solution

The fourth proportional to 1,966,499.14, 2,949,748.70 and 705,212.50 is: 1,057,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,499.14 : 2,949,748.70 = 705,212.50 : x
  2. Step 2: Convert to fraction form
    1,966,499.14/2,949,748.70 = 705,212.50/x
  3. Step 3: Cross multiply
    1,966,499.14x = 2,949,748.70 × 705,212.50
  4. Step 4: Simplify right side
    1,966,499.14x = 2,080,199,655,098.75
  5. Step 5: Solve for x
    x = 2,080,199,655,098.75/1,966,499.14
  6. Step 6: Final answer
    x = 1,057,818.75

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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.