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Finding the Fourth Proportional to 506,667.48, 699,297.48 and 361,865.40

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Solution

The fourth proportional to 506,667.48, 699,297.48 and 361,865.40 is: 499,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,667.48 : 699,297.48 = 361,865.40 : x
  2. Step 2: Convert to fraction form
    506,667.48/699,297.48 = 361,865.40/x
  3. Step 3: Cross multiply
    506,667.48x = 699,297.48 × 361,865.40
  4. Step 4: Simplify right side
    506,667.48x = 253,051,562,319.19
  5. Step 5: Solve for x
    x = 253,051,562,319.19/506,667.48
  6. Step 6: Final answer
    x = 499,443.07

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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.