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Finding the Fourth Proportional to 470,385.80, 705,060.30 and 260,174.60

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Solution

The fourth proportional to 470,385.80, 705,060.30 and 260,174.60 is: 389,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,385.80 : 705,060.30 = 260,174.60 : x
  2. Step 2: Convert to fraction form
    470,385.80/705,060.30 = 260,174.60/x
  3. Step 3: Cross multiply
    470,385.80x = 705,060.30 × 260,174.60
  4. Step 4: Simplify right side
    470,385.80x = 183,438,781,528.38
  5. Step 5: Solve for x
    x = 183,438,781,528.38/470,385.80
  6. Step 6: Final answer
    x = 389,975.17

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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.