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Finding the Fourth Proportional to 534,954.42, 737,806.62 and 470,285.39

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Solution

The fourth proportional to 534,954.42, 737,806.62 and 470,285.39 is: 648,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,954.42 : 737,806.62 = 470,285.39 : x
  2. Step 2: Convert to fraction form
    534,954.42/737,806.62 = 470,285.39/x
  3. Step 3: Cross multiply
    534,954.42x = 737,806.62 × 470,285.39
  4. Step 4: Simplify right side
    534,954.42x = 346,979,674,031.28
  5. Step 5: Solve for x
    x = 346,979,674,031.28/534,954.42
  6. Step 6: Final answer
    x = 648,615.40

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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.