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Finding the Fourth Proportional to 954,511, 1,431,775.14 and 289,663

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Solution

The fourth proportional to 954,511, 1,431,775.14 and 289,663 is: 434,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,511 : 1,431,775.14 = 289,663 : x
  2. Step 2: Convert to fraction form
    954,511/1,431,775.14 = 289,663/x
  3. Step 3: Cross multiply
    954,511x = 1,431,775.14 × 289,663
  4. Step 4: Simplify right side
    954,511x = 414,732,282,377.82
  5. Step 5: Solve for x
    x = 414,732,282,377.82/954,511
  6. Step 6: Final answer
    x = 434,497.12

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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.