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Finding the Fourth Proportional to 306,702.62, 460,148 and 157,048.04

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Solution

The fourth proportional to 306,702.62, 460,148 and 157,048.04 is: 235,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,702.62 : 460,148 = 157,048.04 : x
  2. Step 2: Convert to fraction form
    306,702.62/460,148 = 157,048.04/x
  3. Step 3: Cross multiply
    306,702.62x = 460,148 × 157,048.04
  4. Step 4: Simplify right side
    306,702.62x = 72,265,341,509.92
  5. Step 5: Solve for x
    x = 72,265,341,509.92/306,702.62
  6. Step 6: Final answer
    x = 235,620.23

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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.