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Finding the Fourth Proportional to 364,815.60, 547,223.40 and 299,205.60

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Solution

The fourth proportional to 364,815.60, 547,223.40 and 299,205.60 is: 448,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,815.60 : 547,223.40 = 299,205.60 : x
  2. Step 2: Convert to fraction form
    364,815.60/547,223.40 = 299,205.60/x
  3. Step 3: Cross multiply
    364,815.60x = 547,223.40 × 299,205.60
  4. Step 4: Simplify right side
    364,815.60x = 163,732,305,731.04
  5. Step 5: Solve for x
    x = 163,732,305,731.04/364,815.60
  6. Step 6: Final answer
    x = 448,808.40

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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.