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Finding the Fourth Proportional to 612,212.52, 918,328.02 and 233,154.24

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Solution

The fourth proportional to 612,212.52, 918,328.02 and 233,154.24 is: 349,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,212.52 : 918,328.02 = 233,154.24 : x
  2. Step 2: Convert to fraction form
    612,212.52/918,328.02 = 233,154.24/x
  3. Step 3: Cross multiply
    612,212.52x = 918,328.02 × 233,154.24
  4. Step 4: Simplify right side
    612,212.52x = 214,112,071,573.81
  5. Step 5: Solve for x
    x = 214,112,071,573.81/612,212.52
  6. Step 6: Final answer
    x = 349,734.88

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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.