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Finding the Fourth Proportional to 296,847.68, 409,666.56 and 176,060.48

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Solution

The fourth proportional to 296,847.68, 409,666.56 and 176,060.48 is: 242,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,847.68 : 409,666.56 = 176,060.48 : x
  2. Step 2: Convert to fraction form
    296,847.68/409,666.56 = 176,060.48/x
  3. Step 3: Cross multiply
    296,847.68x = 409,666.56 × 176,060.48
  4. Step 4: Simplify right side
    296,847.68x = 72,126,091,193.55
  5. Step 5: Solve for x
    x = 72,126,091,193.55/296,847.68
  6. Step 6: Final answer
    x = 242,973.40

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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.