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Finding the Fourth Proportional to 2,978,048.52, 4,106,848.50 and 2,000,197.08

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Solution

The fourth proportional to 2,978,048.52, 4,106,848.50 and 2,000,197.08 is: 2,758,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978,048.52 : 4,106,848.50 = 2,000,197.08 : x
  2. Step 2: Convert to fraction form
    2,978,048.52/4,106,848.50 = 2,000,197.08/x
  3. Step 3: Cross multiply
    2,978,048.52x = 4,106,848.50 × 2,000,197.08
  4. Step 4: Simplify right side
    2,978,048.52x = 8,214,506,377,702.38
  5. Step 5: Solve for x
    x = 8,214,506,377,702.38/2,978,048.52
  6. Step 6: Final answer
    x = 2,758,352.10

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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.