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Finding the Fourth Proportional to 470,041, 648,656.58 and 258,073

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Solution

The fourth proportional to 470,041, 648,656.58 and 258,073 is: 356,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,041 : 648,656.58 = 258,073 : x
  2. Step 2: Convert to fraction form
    470,041/648,656.58 = 258,073/x
  3. Step 3: Cross multiply
    470,041x = 648,656.58 × 258,073
  4. Step 4: Simplify right side
    470,041x = 167,400,749,570.34
  5. Step 5: Solve for x
    x = 167,400,749,570.34/470,041
  6. Step 6: Final answer
    x = 356,140.74

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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.