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Finding the Fourth Proportional to 461,055.84, 690,663.60 and 223,678.32

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Solution

The fourth proportional to 461,055.84, 690,663.60 and 223,678.32 is: 335,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,055.84 : 690,663.60 = 223,678.32 : x
  2. Step 2: Convert to fraction form
    461,055.84/690,663.60 = 223,678.32/x
  3. Step 3: Cross multiply
    461,055.84x = 690,663.60 × 223,678.32
  4. Step 4: Simplify right side
    461,055.84x = 154,486,473,733.15
  5. Step 5: Solve for x
    x = 154,486,473,733.15/461,055.84
  6. Step 6: Final answer
    x = 335,071.07

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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.