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Finding the Fourth Proportional to 291,021.84, 436,095.12 and 164,525.76

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Solution

The fourth proportional to 291,021.84, 436,095.12 and 164,525.76 is: 246,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,021.84 : 436,095.12 = 164,525.76 : x
  2. Step 2: Convert to fraction form
    291,021.84/436,095.12 = 164,525.76/x
  3. Step 3: Cross multiply
    291,021.84x = 436,095.12 × 164,525.76
  4. Step 4: Simplify right side
    291,021.84x = 71,748,881,050.29
  5. Step 5: Solve for x
    x = 71,748,881,050.29/291,021.84
  6. Step 6: Final answer
    x = 246,541.23

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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.