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Finding the Fourth Proportional to 389,435.40, 584,153.10 and 152,785.80

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Solution

The fourth proportional to 389,435.40, 584,153.10 and 152,785.80 is: 229,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,435.40 : 584,153.10 = 152,785.80 : x
  2. Step 2: Convert to fraction form
    389,435.40/584,153.10 = 152,785.80/x
  3. Step 3: Cross multiply
    389,435.40x = 584,153.10 × 152,785.80
  4. Step 4: Simplify right side
    389,435.40x = 89,250,298,705.98
  5. Step 5: Solve for x
    x = 89,250,298,705.98/389,435.40
  6. Step 6: Final answer
    x = 229,178.70

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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.