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Finding the Fourth Proportional to 297,897.60, 446,554.80 and 120,167.40

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Solution

The fourth proportional to 297,897.60, 446,554.80 and 120,167.40 is: 180,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,897.60 : 446,554.80 = 120,167.40 : x
  2. Step 2: Convert to fraction form
    297,897.60/446,554.80 = 120,167.40/x
  3. Step 3: Cross multiply
    297,897.60x = 446,554.80 × 120,167.40
  4. Step 4: Simplify right side
    297,897.60x = 53,661,329,273.52
  5. Step 5: Solve for x
    x = 53,661,329,273.52/297,897.60
  6. Step 6: Final answer
    x = 180,133.47

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1.5x scale

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.