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Finding the Fourth Proportional to 470,652.90, 705,827.67 and 155,034.66

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Solution

The fourth proportional to 470,652.90, 705,827.67 and 155,034.66 is: 232,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,652.90 : 705,827.67 = 155,034.66 : x
  2. Step 2: Convert to fraction form
    470,652.90/705,827.67 = 155,034.66/x
  3. Step 3: Cross multiply
    470,652.90x = 705,827.67 × 155,034.66
  4. Step 4: Simplify right side
    470,652.90x = 109,427,752,837.04
  5. Step 5: Solve for x
    x = 109,427,752,837.04/470,652.90
  6. Step 6: Final answer
    x = 232,502.03

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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.