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Finding the Fourth Proportional to 533,966.42, 736,871.00 and 288,951

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Solution

The fourth proportional to 533,966.42, 736,871.00 and 288,951 is: 398,750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,966.42 : 736,871.00 = 288,951 : x
  2. Step 2: Convert to fraction form
    533,966.42/736,871.00 = 288,951/x
  3. Step 3: Cross multiply
    533,966.42x = 736,871.00 × 288,951
  4. Step 4: Simplify right side
    533,966.42x = 212,919,613,043.38
  5. Step 5: Solve for x
    x = 212,919,613,043.38/533,966.42
  6. Step 6: Final answer
    x = 398,750.95

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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.