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Finding the Fourth Proportional to 406,376.70, 609,594.27 and 140,133.38

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Solution

The fourth proportional to 406,376.70, 609,594.27 and 140,133.38 is: 210,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,376.70 : 609,594.27 = 140,133.38 : x
  2. Step 2: Convert to fraction form
    406,376.70/609,594.27 = 140,133.38/x
  3. Step 3: Cross multiply
    406,376.70x = 609,594.27 × 140,133.38
  4. Step 4: Simplify right side
    406,376.70x = 85,424,502,435.76
  5. Step 5: Solve for x
    x = 85,424,502,435.76/406,376.70
  6. Step 6: Final answer
    x = 210,210.14

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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.