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Finding the Fourth Proportional to 423,484.24, 584,412.45 and 229,893.45

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Solution

The fourth proportional to 423,484.24, 584,412.45 and 229,893.45 is: 317,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,484.24 : 584,412.45 = 229,893.45 : x
  2. Step 2: Convert to fraction form
    423,484.24/584,412.45 = 229,893.45/x
  3. Step 3: Cross multiply
    423,484.24x = 584,412.45 × 229,893.45
  4. Step 4: Simplify right side
    423,484.24x = 134,352,590,281.92
  5. Step 5: Solve for x
    x = 134,352,590,281.92/423,484.24
  6. Step 6: Final answer
    x = 317,255.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.