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Finding the Fourth Proportional to 257,638.60, 386,457.90 and 173,657.80

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Solution

The fourth proportional to 257,638.60, 386,457.90 and 173,657.80 is: 260,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,638.60 : 386,457.90 = 173,657.80 : x
  2. Step 2: Convert to fraction form
    257,638.60/386,457.90 = 173,657.80/x
  3. Step 3: Cross multiply
    257,638.60x = 386,457.90 × 173,657.80
  4. Step 4: Simplify right side
    257,638.60x = 67,111,428,706.62
  5. Step 5: Solve for x
    x = 67,111,428,706.62/257,638.60
  6. Step 6: Final answer
    x = 260,486.70

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1.5x scale

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.