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Finding the Fourth Proportional to 608,529.60, 913,352.40 and 309,218.40

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Solution

The fourth proportional to 608,529.60, 913,352.40 and 309,218.40 is: 464,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,529.60 : 913,352.40 = 309,218.40 : x
  2. Step 2: Convert to fraction form
    608,529.60/913,352.40 = 309,218.40/x
  3. Step 3: Cross multiply
    608,529.60x = 913,352.40 × 309,218.40
  4. Step 4: Simplify right side
    608,529.60x = 282,425,367,764.16
  5. Step 5: Solve for x
    x = 282,425,367,764.16/608,529.60
  6. Step 6: Final answer
    x = 464,111.14

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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.