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Finding the Fourth Proportional to 430,604, 594,233.52 and 242,188

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Solution

The fourth proportional to 430,604, 594,233.52 and 242,188 is: 334,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,604 : 594,233.52 = 242,188 : x
  2. Step 2: Convert to fraction form
    430,604/594,233.52 = 242,188/x
  3. Step 3: Cross multiply
    430,604x = 594,233.52 × 242,188
  4. Step 4: Simplify right side
    430,604x = 143,916,227,741.76
  5. Step 5: Solve for x
    x = 143,916,227,741.76/430,604
  6. Step 6: Final answer
    x = 334,219.44

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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.