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Finding the Fourth Proportional to 364,264.94, 546,348.20 and 98,041.43

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Solution

The fourth proportional to 364,264.94, 546,348.20 and 98,041.43 is: 147,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,264.94 : 546,348.20 = 98,041.43 : x
  2. Step 2: Convert to fraction form
    364,264.94/546,348.20 = 98,041.43/x
  3. Step 3: Cross multiply
    364,264.94x = 546,348.20 × 98,041.43
  4. Step 4: Simplify right side
    364,264.94x = 53,564,758,805.93
  5. Step 5: Solve for x
    x = 53,564,758,805.93/364,264.94
  6. Step 6: Final answer
    x = 147,048.90

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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.