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Finding the Fourth Proportional to 385,826.40, 578,048.40 and 330,530.40

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Solution

The fourth proportional to 385,826.40, 578,048.40 and 330,530.40 is: 495,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,826.40 : 578,048.40 = 330,530.40 : x
  2. Step 2: Convert to fraction form
    385,826.40/578,048.40 = 330,530.40/x
  3. Step 3: Cross multiply
    385,826.40x = 578,048.40 × 330,530.40
  4. Step 4: Simplify right side
    385,826.40x = 191,062,568,871.36
  5. Step 5: Solve for x
    x = 191,062,568,871.36/385,826.40
  6. Step 6: Final answer
    x = 495,203.46

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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.