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Finding the Fourth Proportional to 306,685.52, 460,225.10 and 148,827.86

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Solution

The fourth proportional to 306,685.52, 460,225.10 and 148,827.86 is: 223,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,685.52 : 460,225.10 = 148,827.86 : x
  2. Step 2: Convert to fraction form
    306,685.52/460,225.10 = 148,827.86/x
  3. Step 3: Cross multiply
    306,685.52x = 460,225.10 × 148,827.86
  4. Step 4: Simplify right side
    306,685.52x = 68,494,314,822.23
  5. Step 5: Solve for x
    x = 68,494,314,822.23/306,685.52
  6. Step 6: Final answer
    x = 223,337.30

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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.