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Finding the Fourth Proportional to 450,580.09, 675,123.75 and 316,806.77

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Solution

The fourth proportional to 450,580.09, 675,123.75 and 316,806.77 is: 474,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,580.09 : 675,123.75 = 316,806.77 : x
  2. Step 2: Convert to fraction form
    450,580.09/675,123.75 = 316,806.77/x
  3. Step 3: Cross multiply
    450,580.09x = 675,123.75 × 316,806.77
  4. Step 4: Simplify right side
    450,580.09x = 213,883,774,587.79
  5. Step 5: Solve for x
    x = 213,883,774,587.79/450,580.09
  6. Step 6: Final answer
    x = 474,685.37

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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.