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Finding the Fourth Proportional to 469,594.59, 704,085.63 and 309,185.02

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Solution

The fourth proportional to 469,594.59, 704,085.63 and 309,185.02 is: 463,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,594.59 : 704,085.63 = 309,185.02 : x
  2. Step 2: Convert to fraction form
    469,594.59/704,085.63 = 309,185.02/x
  3. Step 3: Cross multiply
    469,594.59x = 704,085.63 × 309,185.02
  4. Step 4: Simplify right side
    469,594.59x = 217,692,729,593.26
  5. Step 5: Solve for x
    x = 217,692,729,593.26/469,594.59
  6. Step 6: Final answer
    x = 463,575.89

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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.