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Finding the Fourth Proportional to 412,166.40, 617,666.40 and 362,011.20

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Solution

The fourth proportional to 412,166.40, 617,666.40 and 362,011.20 is: 542,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,166.40 : 617,666.40 = 362,011.20 : x
  2. Step 2: Convert to fraction form
    412,166.40/617,666.40 = 362,011.20/x
  3. Step 3: Cross multiply
    412,166.40x = 617,666.40 × 362,011.20
  4. Step 4: Simplify right side
    412,166.40x = 223,602,154,663.68
  5. Step 5: Solve for x
    x = 223,602,154,663.68/412,166.40
  6. Step 6: Final answer
    x = 542,504.57

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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.