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Finding the Fourth Proportional to 365,564.76, 504,526.32 and 204,428.80

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Solution

The fourth proportional to 365,564.76, 504,526.32 and 204,428.80 is: 282,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,564.76 : 504,526.32 = 204,428.80 : x
  2. Step 2: Convert to fraction form
    365,564.76/504,526.32 = 204,428.80/x
  3. Step 3: Cross multiply
    365,564.76x = 504,526.32 × 204,428.80
  4. Step 4: Simplify right side
    365,564.76x = 103,139,710,166.02
  5. Step 5: Solve for x
    x = 103,139,710,166.02/365,564.76
  6. Step 6: Final answer
    x = 282,138.00

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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.