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Finding the Fourth Proportional to 470,193.40, 648,868.22 and 255,337.08

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Solution

The fourth proportional to 470,193.40, 648,868.22 and 255,337.08 is: 352,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,193.40 : 648,868.22 = 255,337.08 : x
  2. Step 2: Convert to fraction form
    470,193.40/648,868.22 = 255,337.08/x
  3. Step 3: Cross multiply
    470,193.40x = 648,868.22 × 255,337.08
  4. Step 4: Simplify right side
    470,193.40x = 165,680,116,599.60
  5. Step 5: Solve for x
    x = 165,680,116,599.60/470,193.40
  6. Step 6: Final answer
    x = 352,365.89

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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.