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Finding the Fourth Proportional to 304,684.34, 420,461.46 and 175,575.38

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Solution

The fourth proportional to 304,684.34, 420,461.46 and 175,575.38 is: 242,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,684.34 : 420,461.46 = 175,575.38 : x
  2. Step 2: Convert to fraction form
    304,684.34/420,461.46 = 175,575.38/x
  3. Step 3: Cross multiply
    304,684.34x = 420,461.46 × 175,575.38
  4. Step 4: Simplify right side
    304,684.34x = 73,822,678,512.55
  5. Step 5: Solve for x
    x = 73,822,678,512.55/304,684.34
  6. Step 6: Final answer
    x = 242,292.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.