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Finding the Fourth Proportional to 546,764.85, 820,423.89 and 368,898.03

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Solution

The fourth proportional to 546,764.85, 820,423.89 and 368,898.03 is: 553,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,764.85 : 820,423.89 = 368,898.03 : x
  2. Step 2: Convert to fraction form
    546,764.85/820,423.89 = 368,898.03/x
  3. Step 3: Cross multiply
    546,764.85x = 820,423.89 × 368,898.03
  4. Step 4: Simplify right side
    546,764.85x = 302,652,756,785.94
  5. Step 5: Solve for x
    x = 302,652,756,785.94/546,764.85
  6. Step 6: Final answer
    x = 553,533.68

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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.