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Finding the Fourth Proportional to 458,916.47, 688,270.76 and 174,505.63

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Solution

The fourth proportional to 458,916.47, 688,270.76 and 174,505.63 is: 261,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,916.47 : 688,270.76 = 174,505.63 : x
  2. Step 2: Convert to fraction form
    458,916.47/688,270.76 = 174,505.63/x
  3. Step 3: Cross multiply
    458,916.47x = 688,270.76 × 174,505.63
  4. Step 4: Simplify right side
    458,916.47x = 120,107,118,270.50
  5. Step 5: Solve for x
    x = 120,107,118,270.50/458,916.47
  6. Step 6: Final answer
    x = 261,718.91

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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.