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Finding the Fourth Proportional to 443,232, 611,660.16 and 242,028

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Solution

The fourth proportional to 443,232, 611,660.16 and 242,028 is: 333,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,232 : 611,660.16 = 242,028 : x
  2. Step 2: Convert to fraction form
    443,232/611,660.16 = 242,028/x
  3. Step 3: Cross multiply
    443,232x = 611,660.16 × 242,028
  4. Step 4: Simplify right side
    443,232x = 148,038,885,204.48
  5. Step 5: Solve for x
    x = 148,038,885,204.48/443,232
  6. Step 6: Final answer
    x = 333,998.64

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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.