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Finding the Fourth Proportional to 498,263.04, 747,671.04 and 202,752

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Solution

The fourth proportional to 498,263.04, 747,671.04 and 202,752 is: 304,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,263.04 : 747,671.04 = 202,752 : x
  2. Step 2: Convert to fraction form
    498,263.04/747,671.04 = 202,752/x
  3. Step 3: Cross multiply
    498,263.04x = 747,671.04 × 202,752
  4. Step 4: Simplify right side
    498,263.04x = 151,591,798,702.08
  5. Step 5: Solve for x
    x = 151,591,798,702.08/498,263.04
  6. Step 6: Final answer
    x = 304,240.50

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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.