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Finding the Fourth Proportional to 423,298.60, 584,133.78 and 232,315.24

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Solution

The fourth proportional to 423,298.60, 584,133.78 and 232,315.24 is: 320,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,298.60 : 584,133.78 = 232,315.24 : x
  2. Step 2: Convert to fraction form
    423,298.60/584,133.78 = 232,315.24/x
  3. Step 3: Cross multiply
    423,298.60x = 584,133.78 × 232,315.24
  4. Step 4: Simplify right side
    423,298.60x = 135,703,179,292.81
  5. Step 5: Solve for x
    x = 135,703,179,292.81/423,298.60
  6. Step 6: Final answer
    x = 320,584.99

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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.