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Finding the Fourth Proportional to 882,361, 1,323,541.50 and 217,513

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Solution

The fourth proportional to 882,361, 1,323,541.50 and 217,513 is: 326,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,361 : 1,323,541.50 = 217,513 : x
  2. Step 2: Convert to fraction form
    882,361/1,323,541.50 = 217,513/x
  3. Step 3: Cross multiply
    882,361x = 1,323,541.50 × 217,513
  4. Step 4: Simplify right side
    882,361x = 287,887,482,289.50
  5. Step 5: Solve for x
    x = 287,887,482,289.50/882,361
  6. Step 6: Final answer
    x = 326,269.50

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1.5x scale

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.