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Finding the Fourth Proportional to 329,702.40, 493,970.40 and 283,046.40

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Solution

The fourth proportional to 329,702.40, 493,970.40 and 283,046.40 is: 424,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,702.40 : 493,970.40 = 283,046.40 : x
  2. Step 2: Convert to fraction form
    329,702.40/493,970.40 = 283,046.40/x
  3. Step 3: Cross multiply
    329,702.40x = 493,970.40 × 283,046.40
  4. Step 4: Simplify right side
    329,702.40x = 139,816,543,426.56
  5. Step 5: Solve for x
    x = 139,816,543,426.56/329,702.40
  6. Step 6: Final answer
    x = 424,068.93

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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.