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Finding the Fourth Proportional to 355,098.60, 532,647.90 and 299,111.40

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Solution

The fourth proportional to 355,098.60, 532,647.90 and 299,111.40 is: 448,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,098.60 : 532,647.90 = 299,111.40 : x
  2. Step 2: Convert to fraction form
    355,098.60/532,647.90 = 299,111.40/x
  3. Step 3: Cross multiply
    355,098.60x = 532,647.90 × 299,111.40
  4. Step 4: Simplify right side
    355,098.60x = 159,321,059,076.06
  5. Step 5: Solve for x
    x = 159,321,059,076.06/355,098.60
  6. Step 6: Final answer
    x = 448,667.10

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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.