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Finding the Fourth Proportional to 954,541, 1,431,820.14 and 289,693

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Solution

The fourth proportional to 954,541, 1,431,820.14 and 289,693 is: 434,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,541 : 1,431,820.14 = 289,693 : x
  2. Step 2: Convert to fraction form
    954,541/1,431,820.14 = 289,693/x
  3. Step 3: Cross multiply
    954,541x = 1,431,820.14 × 289,693
  4. Step 4: Simplify right side
    954,541x = 414,788,271,817.02
  5. Step 5: Solve for x
    x = 414,788,271,817.02/954,541
  6. Step 6: Final answer
    x = 434,542.12

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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.