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Finding the Fourth Proportional to 338,409.04, 507,628.64 and 188,535.76

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Solution

The fourth proportional to 338,409.04, 507,628.64 and 188,535.76 is: 282,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,409.04 : 507,628.64 = 188,535.76 : x
  2. Step 2: Convert to fraction form
    338,409.04/507,628.64 = 188,535.76/x
  3. Step 3: Cross multiply
    338,409.04x = 507,628.64 × 188,535.76
  4. Step 4: Simplify right side
    338,409.04x = 95,706,151,440.17
  5. Step 5: Solve for x
    x = 95,706,151,440.17/338,409.04
  6. Step 6: Final answer
    x = 282,812.04

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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.