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Finding the Fourth Proportional to 470,655.90, 705,832.17 and 155,037.66

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Solution

The fourth proportional to 470,655.90, 705,832.17 and 155,037.66 is: 232,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,655.90 : 705,832.17 = 155,037.66 : x
  2. Step 2: Convert to fraction form
    470,655.90/705,832.17 = 155,037.66/x
  3. Step 3: Cross multiply
    470,655.90x = 705,832.17 × 155,037.66
  4. Step 4: Simplify right side
    470,655.90x = 109,430,567,989.52
  5. Step 5: Solve for x
    x = 109,430,567,989.52/470,655.90
  6. Step 6: Final answer
    x = 232,506.53

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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.