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Finding the Fourth Proportional to 423,289.54, 584,150.93 and 232,309.70

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Solution

The fourth proportional to 423,289.54, 584,150.93 and 232,309.70 is: 320,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,289.54 : 584,150.93 = 232,309.70 : x
  2. Step 2: Convert to fraction form
    423,289.54/584,150.93 = 232,309.70/x
  3. Step 3: Cross multiply
    423,289.54x = 584,150.93 × 232,309.70
  4. Step 4: Simplify right side
    423,289.54x = 135,703,927,303.02
  5. Step 5: Solve for x
    x = 135,703,927,303.02/423,289.54
  6. Step 6: Final answer
    x = 320,593.62

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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.