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Finding the Fourth Proportional to 882,314.76, 1,323,472.26 and 217,466.76

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Solution

The fourth proportional to 882,314.76, 1,323,472.26 and 217,466.76 is: 326,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,314.76 : 1,323,472.26 = 217,466.76 : x
  2. Step 2: Convert to fraction form
    882,314.76/1,323,472.26 = 217,466.76/x
  3. Step 3: Cross multiply
    882,314.76x = 1,323,472.26 × 217,466.76
  4. Step 4: Simplify right side
    882,314.76x = 287,811,224,332.08
  5. Step 5: Solve for x
    x = 287,811,224,332.08/882,314.76
  6. Step 6: Final answer
    x = 326,200.17

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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.