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Finding the Fourth Proportional to 468,045.54, 702,141.21 and 152,429.04

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Solution

The fourth proportional to 468,045.54, 702,141.21 and 152,429.04 is: 228,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,045.54 : 702,141.21 = 152,429.04 : x
  2. Step 2: Convert to fraction form
    468,045.54/702,141.21 = 152,429.04/x
  3. Step 3: Cross multiply
    468,045.54x = 702,141.21 × 152,429.04
  4. Step 4: Simplify right side
    468,045.54x = 107,026,710,584.74
  5. Step 5: Solve for x
    x = 107,026,710,584.74/468,045.54
  6. Step 6: Final answer
    x = 228,667.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.