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Finding the Fourth Proportional to 954,323, 1,431,493.14 and 289,475

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Solution

The fourth proportional to 954,323, 1,431,493.14 and 289,475 is: 434,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,323 : 1,431,493.14 = 289,475 : x
  2. Step 2: Convert to fraction form
    954,323/1,431,493.14 = 289,475/x
  3. Step 3: Cross multiply
    954,323x = 1,431,493.14 × 289,475
  4. Step 4: Simplify right side
    954,323x = 414,381,476,701.50
  5. Step 5: Solve for x
    x = 414,381,476,701.50/954,323
  6. Step 6: Final answer
    x = 434,215.12

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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.