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Finding the Fourth Proportional to 470,827.80, 706,241.70 and 337,426.20

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Solution

The fourth proportional to 470,827.80, 706,241.70 and 337,426.20 is: 506,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,827.80 : 706,241.70 = 337,426.20 : x
  2. Step 2: Convert to fraction form
    470,827.80/706,241.70 = 337,426.20/x
  3. Step 3: Cross multiply
    470,827.80x = 706,241.70 × 337,426.20
  4. Step 4: Simplify right side
    470,827.80x = 238,304,453,112.54
  5. Step 5: Solve for x
    x = 238,304,453,112.54/470,827.80
  6. Step 6: Final answer
    x = 506,139.30

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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.