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Finding the Fourth Proportional to 338,416.40, 507,430.20 and 101,723.60

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Solution

The fourth proportional to 338,416.40, 507,430.20 and 101,723.60 is: 152,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,416.40 : 507,430.20 = 101,723.60 : x
  2. Step 2: Convert to fraction form
    338,416.40/507,430.20 = 101,723.60/x
  3. Step 3: Cross multiply
    338,416.40x = 507,430.20 × 101,723.60
  4. Step 4: Simplify right side
    338,416.40x = 51,617,626,692.72
  5. Step 5: Solve for x
    x = 51,617,626,692.72/338,416.40
  6. Step 6: Final answer
    x = 152,526.97

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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.