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Finding the Fourth Proportional to 315,705.60, 435,668.24 and 172,461.96

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Solution

The fourth proportional to 315,705.60, 435,668.24 and 172,461.96 is: 237,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,705.60 : 435,668.24 = 172,461.96 : x
  2. Step 2: Convert to fraction form
    315,705.60/435,668.24 = 172,461.96/x
  3. Step 3: Cross multiply
    315,705.60x = 435,668.24 × 172,461.96
  4. Step 4: Simplify right side
    315,705.60x = 75,136,197,717.84
  5. Step 5: Solve for x
    x = 75,136,197,717.84/315,705.60
  6. Step 6: Final answer
    x = 237,994.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.