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Finding the Fourth Proportional to 469,292.28, 704,069.64 and 153,970.62

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Solution

The fourth proportional to 469,292.28, 704,069.64 and 153,970.62 is: 230,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,292.28 : 704,069.64 = 153,970.62 : x
  2. Step 2: Convert to fraction form
    469,292.28/704,069.64 = 153,970.62/x
  3. Step 3: Cross multiply
    469,292.28x = 704,069.64 × 153,970.62
  4. Step 4: Simplify right side
    469,292.28x = 108,406,038,993.98
  5. Step 5: Solve for x
    x = 108,406,038,993.98/469,292.28
  6. Step 6: Final answer
    x = 230,998.98

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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.