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Finding the Fourth Proportional to 433,300, 597,948.96 and 242,311.60

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Solution

The fourth proportional to 433,300, 597,948.96 and 242,311.60 is: 334,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,300 : 597,948.96 = 242,311.60 : x
  2. Step 2: Convert to fraction form
    433,300/597,948.96 = 242,311.60/x
  3. Step 3: Cross multiply
    433,300x = 597,948.96 × 242,311.60
  4. Step 4: Simplify right side
    433,300x = 144,889,969,215.94
  5. Step 5: Solve for x
    x = 144,889,969,215.94/433,300
  6. Step 6: Final answer
    x = 334,387.19

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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.