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Finding the Fourth Proportional to 316,024.47, 436,115.61 and 172,784.51

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Solution

The fourth proportional to 316,024.47, 436,115.61 and 172,784.51 is: 238,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,024.47 : 436,115.61 = 172,784.51 : x
  2. Step 2: Convert to fraction form
    316,024.47/436,115.61 = 172,784.51/x
  3. Step 3: Cross multiply
    316,024.47x = 436,115.61 × 172,784.51
  4. Step 4: Simplify right side
    316,024.47x = 75,354,021,432.06
  5. Step 5: Solve for x
    x = 75,354,021,432.06/316,024.47
  6. Step 6: Final answer
    x = 238,443.63

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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.