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Finding the Fourth Proportional to 406,927.40, 610,391.10 and 340,442.60

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Solution

The fourth proportional to 406,927.40, 610,391.10 and 340,442.60 is: 510,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,927.40 : 610,391.10 = 340,442.60 : x
  2. Step 2: Convert to fraction form
    406,927.40/610,391.10 = 340,442.60/x
  3. Step 3: Cross multiply
    406,927.40x = 610,391.10 × 340,442.60
  4. Step 4: Simplify right side
    406,927.40x = 207,803,133,100.86
  5. Step 5: Solve for x
    x = 207,803,133,100.86/406,927.40
  6. Step 6: Final answer
    x = 510,663.90

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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.