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Finding the Fourth Proportional to 500,785.32, 751,019.40 and 163,748.10

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Solution

The fourth proportional to 500,785.32, 751,019.40 and 163,748.10 is: 245,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,785.32 : 751,019.40 = 163,748.10 : x
  2. Step 2: Convert to fraction form
    500,785.32/751,019.40 = 163,748.10/x
  3. Step 3: Cross multiply
    500,785.32x = 751,019.40 × 163,748.10
  4. Step 4: Simplify right side
    500,785.32x = 122,977,999,813.14
  5. Step 5: Solve for x
    x = 122,977,999,813.14/500,785.32
  6. Step 6: Final answer
    x = 245,570.30

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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.