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Finding the Fourth Proportional to 517,567.92, 775,890.16 and 201,951.40

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Solution

The fourth proportional to 517,567.92, 775,890.16 and 201,951.40 is: 302,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,567.92 : 775,890.16 = 201,951.40 : x
  2. Step 2: Convert to fraction form
    517,567.92/775,890.16 = 201,951.40/x
  3. Step 3: Cross multiply
    517,567.92x = 775,890.16 × 201,951.40
  4. Step 4: Simplify right side
    517,567.92x = 156,692,104,058.22
  5. Step 5: Solve for x
    x = 156,692,104,058.22/517,567.92
  6. Step 6: Final answer
    x = 302,746.94

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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.