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Finding the Fourth Proportional to 406,552.95, 610,388.02 and 207,007.42

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Solution

The fourth proportional to 406,552.95, 610,388.02 and 207,007.42 is: 310,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,552.95 : 610,388.02 = 207,007.42 : x
  2. Step 2: Convert to fraction form
    406,552.95/610,388.02 = 207,007.42/x
  3. Step 3: Cross multiply
    406,552.95x = 610,388.02 × 207,007.42
  4. Step 4: Simplify right side
    406,552.95x = 126,354,849,219.11
  5. Step 5: Solve for x
    x = 126,354,849,219.11/406,552.95
  6. Step 6: Final answer
    x = 310,795.55

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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.