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Finding the Fourth Proportional to 470,956.48, 706,623.35 and 171,457.76

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Solution

The fourth proportional to 470,956.48, 706,623.35 and 171,457.76 is: 257,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,956.48 : 706,623.35 = 171,457.76 : x
  2. Step 2: Convert to fraction form
    470,956.48/706,623.35 = 171,457.76/x
  3. Step 3: Cross multiply
    470,956.48x = 706,623.35 × 171,457.76
  4. Step 4: Simplify right side
    470,956.48x = 121,156,057,663.97
  5. Step 5: Solve for x
    x = 121,156,057,663.97/470,956.48
  6. Step 6: Final answer
    x = 257,255.32

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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.