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Finding the Fourth Proportional to 469,288.53, 704,064.02 and 153,966.87

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Solution

The fourth proportional to 469,288.53, 704,064.02 and 153,966.87 is: 230,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,288.53 : 704,064.02 = 153,966.87 : x
  2. Step 2: Convert to fraction form
    469,288.53/704,064.02 = 153,966.87/x
  3. Step 3: Cross multiply
    469,288.53x = 704,064.02 × 153,966.87
  4. Step 4: Simplify right side
    469,288.53x = 108,402,532,669.18
  5. Step 5: Solve for x
    x = 108,402,532,669.18/469,288.53
  6. Step 6: Final answer
    x = 230,993.36

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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.