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Finding the Fourth Proportional to 423,483.51, 584,408.24 and 232,509.21

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Solution

The fourth proportional to 423,483.51, 584,408.24 and 232,509.21 is: 320,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,483.51 : 584,408.24 = 232,509.21 : x
  2. Step 2: Convert to fraction form
    423,483.51/584,408.24 = 232,509.21/x
  3. Step 3: Cross multiply
    423,483.51x = 584,408.24 × 232,509.21
  4. Step 4: Simplify right side
    423,483.51x = 135,880,295,717.72
  5. Step 5: Solve for x
    x = 135,880,295,717.72/423,483.51
  6. Step 6: Final answer
    x = 320,863.25

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1.5x scale

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.