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Finding the Fourth Proportional to 4,643,145.70, 6,965,702.70 and 1,404,417.40

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Solution

The fourth proportional to 4,643,145.70, 6,965,702.70 and 1,404,417.40 is: 2,106,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643,145.70 : 6,965,702.70 = 1,404,417.40 : x
  2. Step 2: Convert to fraction form
    4,643,145.70/6,965,702.70 = 1,404,417.40/x
  3. Step 3: Cross multiply
    4,643,145.70x = 6,965,702.70 × 1,404,417.40
  4. Step 4: Simplify right side
    4,643,145.70x = 9,782,754,075,106.98
  5. Step 5: Solve for x
    x = 9,782,754,075,106.98/4,643,145.70
  6. Step 6: Final answer
    x = 2,106,923.78

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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.