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Finding the Fourth Proportional to 669,768.29, 924,312.35 and 411,656.50

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Solution

The fourth proportional to 669,768.29, 924,312.35 and 411,656.50 is: 568,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,768.29 : 924,312.35 = 411,656.50 : x
  2. Step 2: Convert to fraction form
    669,768.29/924,312.35 = 411,656.50/x
  3. Step 3: Cross multiply
    669,768.29x = 924,312.35 × 411,656.50
  4. Step 4: Simplify right side
    669,768.29x = 380,499,186,907.78
  5. Step 5: Solve for x
    x = 380,499,186,907.78/669,768.29
  6. Step 6: Final answer
    x = 568,105.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.