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Finding the Fourth Proportional to 478,000.44, 716,995.80 and 123,013.08

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Solution

The fourth proportional to 478,000.44, 716,995.80 and 123,013.08 is: 184,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,000.44 : 716,995.80 = 123,013.08 : x
  2. Step 2: Convert to fraction form
    478,000.44/716,995.80 = 123,013.08/x
  3. Step 3: Cross multiply
    478,000.44x = 716,995.80 × 123,013.08
  4. Step 4: Simplify right side
    478,000.44x = 88,199,861,705.06
  5. Step 5: Solve for x
    x = 88,199,861,705.06/478,000.44
  6. Step 6: Final answer
    x = 184,518.37

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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.