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Finding the Fourth Proportional to 470,646.15, 705,817.55 and 155,027.91

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Solution

The fourth proportional to 470,646.15, 705,817.55 and 155,027.91 is: 232,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,646.15 : 705,817.55 = 155,027.91 : x
  2. Step 2: Convert to fraction form
    470,646.15/705,817.55 = 155,027.91/x
  3. Step 3: Cross multiply
    470,646.15x = 705,817.55 × 155,027.91
  4. Step 4: Simplify right side
    470,646.15x = 109,421,418,842.68
  5. Step 5: Solve for x
    x = 109,421,418,842.68/470,646.15
  6. Step 6: Final answer
    x = 232,491.90

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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.