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Finding the Fourth Proportional to 272,083.45, 406,931.44 and 242,307.67

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Solution

The fourth proportional to 272,083.45, 406,931.44 and 242,307.67 is: 362,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,083.45 : 406,931.44 = 242,307.67 : x
  2. Step 2: Convert to fraction form
    272,083.45/406,931.44 = 242,307.67/x
  3. Step 3: Cross multiply
    272,083.45x = 406,931.44 × 242,307.67
  4. Step 4: Simplify right side
    272,083.45x = 98,602,609,076.14
  5. Step 5: Solve for x
    x = 98,602,609,076.14/272,083.45
  6. Step 6: Final answer
    x = 362,398.41

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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.