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Finding the Fourth Proportional to 284,048.17, 392,128.52 and 176,652.81

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Solution

The fourth proportional to 284,048.17, 392,128.52 and 176,652.81 is: 243,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,048.17 : 392,128.52 = 176,652.81 : x
  2. Step 2: Convert to fraction form
    284,048.17/392,128.52 = 176,652.81/x
  3. Step 3: Cross multiply
    284,048.17x = 392,128.52 × 176,652.81
  4. Step 4: Simplify right side
    284,048.17x = 69,270,604,055.88
  5. Step 5: Solve for x
    x = 69,270,604,055.88/284,048.17
  6. Step 6: Final answer
    x = 243,869.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.