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Finding the Fourth Proportional to 296,889.95, 409,698.19 and 175,959.46

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Solution

The fourth proportional to 296,889.95, 409,698.19 and 175,959.46 is: 242,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,889.95 : 409,698.19 = 175,959.46 : x
  2. Step 2: Convert to fraction form
    296,889.95/409,698.19 = 175,959.46/x
  3. Step 3: Cross multiply
    296,889.95x = 409,698.19 × 175,959.46
  4. Step 4: Simplify right side
    296,889.95x = 72,090,271,395.58
  5. Step 5: Solve for x
    x = 72,090,271,395.58/296,889.95
  6. Step 6: Final answer
    x = 242,818.16

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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.