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Finding the Fourth Proportional to 284,415.60, 392,477.76 and 176,982.24

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Solution

The fourth proportional to 284,415.60, 392,477.76 and 176,982.24 is: 244,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,415.60 : 392,477.76 = 176,982.24 : x
  2. Step 2: Convert to fraction form
    284,415.60/392,477.76 = 176,982.24/x
  3. Step 3: Cross multiply
    284,415.60x = 392,477.76 × 176,982.24
  4. Step 4: Simplify right side
    284,415.60x = 69,461,593,114.98
  5. Step 5: Solve for x
    x = 69,461,593,114.98/284,415.60
  6. Step 6: Final answer
    x = 244,225.68

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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.