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Finding the Fourth Proportional to 355,254.24, 532,866.72 and 197,382

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Solution

The fourth proportional to 355,254.24, 532,866.72 and 197,382 is: 296,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,254.24 : 532,866.72 = 197,382 : x
  2. Step 2: Convert to fraction form
    355,254.24/532,866.72 = 197,382/x
  3. Step 3: Cross multiply
    355,254.24x = 532,866.72 × 197,382
  4. Step 4: Simplify right side
    355,254.24x = 105,178,298,927.04
  5. Step 5: Solve for x
    x = 105,178,298,927.04/355,254.24
  6. Step 6: Final answer
    x = 296,064.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.