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Finding the Fourth Proportional to 3,098,106.36, 4,648,978.38 and 1,300,851.60

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Solution

The fourth proportional to 3,098,106.36, 4,648,978.38 and 1,300,851.60 is: 1,952,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,106.36 : 4,648,978.38 = 1,300,851.60 : x
  2. Step 2: Convert to fraction form
    3,098,106.36/4,648,978.38 = 1,300,851.60/x
  3. Step 3: Cross multiply
    3,098,106.36x = 4,648,978.38 × 1,300,851.60
  4. Step 4: Simplify right side
    3,098,106.36x = 6,047,630,963,988.41
  5. Step 5: Solve for x
    x = 6,047,630,963,988.41/3,098,106.36
  6. Step 6: Final answer
    x = 1,952,041.11

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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.