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Finding the Fourth Proportional to 472,756.90, 709,266.58 and 262,542.46

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Solution

The fourth proportional to 472,756.90, 709,266.58 and 262,542.46 is: 393,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,756.90 : 709,266.58 = 262,542.46 : x
  2. Step 2: Convert to fraction form
    472,756.90/709,266.58 = 262,542.46/x
  3. Step 3: Cross multiply
    472,756.90x = 709,266.58 × 262,542.46
  4. Step 4: Simplify right side
    472,756.90x = 186,212,592,708.99
  5. Step 5: Solve for x
    x = 186,212,592,708.99/472,756.90
  6. Step 6: Final answer
    x = 393,886.57

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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.