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Finding the Fourth Proportional to 586,192.50, 808,945.74 and 331,538.22

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Solution

The fourth proportional to 586,192.50, 808,945.74 and 331,538.22 is: 457,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,192.50 : 808,945.74 = 331,538.22 : x
  2. Step 2: Convert to fraction form
    586,192.50/808,945.74 = 331,538.22/x
  3. Step 3: Cross multiply
    586,192.50x = 808,945.74 × 331,538.22
  4. Step 4: Simplify right side
    586,192.50x = 268,196,430,716.18
  5. Step 5: Solve for x
    x = 268,196,430,716.18/586,192.50
  6. Step 6: Final answer
    x = 457,522.79

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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.