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Finding the Fourth Proportional to 616,826.94, 924,870.03 and 256,564.45

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Solution

The fourth proportional to 616,826.94, 924,870.03 and 256,564.45 is: 384,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,826.94 : 924,870.03 = 256,564.45 : x
  2. Step 2: Convert to fraction form
    616,826.94/924,870.03 = 256,564.45/x
  3. Step 3: Cross multiply
    616,826.94x = 924,870.03 × 256,564.45
  4. Step 4: Simplify right side
    616,826.94x = 237,288,770,568.43
  5. Step 5: Solve for x
    x = 237,288,770,568.43/616,826.94
  6. Step 6: Final answer
    x = 384,692.62

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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.