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Finding the Fourth Proportional to 980,698, 1,471,047.08 and 315,850

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Solution

The fourth proportional to 980,698, 1,471,047.08 and 315,850 is: 473,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,698 : 1,471,047.08 = 315,850 : x
  2. Step 2: Convert to fraction form
    980,698/1,471,047.08 = 315,850/x
  3. Step 3: Cross multiply
    980,698x = 1,471,047.08 × 315,850
  4. Step 4: Simplify right side
    980,698x = 464,630,220,218
  5. Step 5: Solve for x
    x = 464,630,220,218/980,698
  6. Step 6: Final answer
    x = 473,775.03

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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.