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Finding the Fourth Proportional to 406,818.59, 610,004.32 and 323,114.81

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Solution

The fourth proportional to 406,818.59, 610,004.32 and 323,114.81 is: 484,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,818.59 : 610,004.32 = 323,114.81 : x
  2. Step 2: Convert to fraction form
    406,818.59/610,004.32 = 323,114.81/x
  3. Step 3: Cross multiply
    406,818.59x = 610,004.32 × 323,114.81
  4. Step 4: Simplify right side
    406,818.59x = 197,101,426,098.17
  5. Step 5: Solve for x
    x = 197,101,426,098.17/406,818.59
  6. Step 6: Final answer
    x = 484,494.65

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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.