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Finding the Fourth Proportional to 556,064.92, 830,027.93 and 477,682.84

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Solution

The fourth proportional to 556,064.92, 830,027.93 and 477,682.84 is: 713,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,064.92 : 830,027.93 = 477,682.84 : x
  2. Step 2: Convert to fraction form
    556,064.92/830,027.93 = 477,682.84/x
  3. Step 3: Cross multiply
    556,064.92x = 830,027.93 × 477,682.84
  4. Step 4: Simplify right side
    556,064.92x = 396,490,098,881.72
  5. Step 5: Solve for x
    x = 396,490,098,881.72/556,064.92
  6. Step 6: Final answer
    x = 713,028.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.