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Finding the Fourth Proportional to 470,078.40, 705,117.60 and 115,095.90

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Solution

The fourth proportional to 470,078.40, 705,117.60 and 115,095.90 is: 172,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,078.40 : 705,117.60 = 115,095.90 : x
  2. Step 2: Convert to fraction form
    470,078.40/705,117.60 = 115,095.90/x
  3. Step 3: Cross multiply
    470,078.40x = 705,117.60 × 115,095.90
  4. Step 4: Simplify right side
    470,078.40x = 81,156,144,777.84
  5. Step 5: Solve for x
    x = 81,156,144,777.84/470,078.40
  6. Step 6: Final answer
    x = 172,643.85

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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.