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Finding the Fourth Proportional to 477,809.01, 716,697.59 and 140,855.22

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Solution

The fourth proportional to 477,809.01, 716,697.59 and 140,855.22 is: 211,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,809.01 : 716,697.59 = 140,855.22 : x
  2. Step 2: Convert to fraction form
    477,809.01/716,697.59 = 140,855.22/x
  3. Step 3: Cross multiply
    477,809.01x = 716,697.59 × 140,855.22
  4. Step 4: Simplify right side
    477,809.01x = 100,950,596,008.64
  5. Step 5: Solve for x
    x = 100,950,596,008.64/477,809.01
  6. Step 6: Final answer
    x = 211,278.13

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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.