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Finding the Fourth Proportional to 829,688, 1,244,532 and 238,712

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Solution

The fourth proportional to 829,688, 1,244,532 and 238,712 is: 358,068

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,688 : 1,244,532 = 238,712 : x
  2. Step 2: Convert to fraction form
    829,688/1,244,532 = 238,712/x
  3. Step 3: Cross multiply
    829,688x = 1,244,532 × 238,712
  4. Step 4: Simplify right side
    829,688x = 297,084,722,784
  5. Step 5: Solve for x
    x = 297,084,722,784/829,688
  6. Step 6: Final answer
    x = 358,068

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