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Finding the Fourth Proportional to 478,103.77, 716,988.48 and 141,054.94

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Solution

The fourth proportional to 478,103.77, 716,988.48 and 141,054.94 is: 211,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,103.77 : 716,988.48 = 141,054.94 : x
  2. Step 2: Convert to fraction form
    478,103.77/716,988.48 = 141,054.94/x
  3. Step 3: Cross multiply
    478,103.77x = 716,988.48 × 141,054.94
  4. Step 4: Simplify right side
    478,103.77x = 101,134,767,027.09
  5. Step 5: Solve for x
    x = 101,134,767,027.09/478,103.77
  6. Step 6: Final answer
    x = 211,533.09

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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.