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Finding the Fourth Proportional to 477,498.51, 659,041.56 and 273,686.06

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Solution

The fourth proportional to 477,498.51, 659,041.56 and 273,686.06 is: 377,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,498.51 : 659,041.56 = 273,686.06 : x
  2. Step 2: Convert to fraction form
    477,498.51/659,041.56 = 273,686.06/x
  3. Step 3: Cross multiply
    477,498.51x = 659,041.56 × 273,686.06
  4. Step 4: Simplify right side
    477,498.51x = 180,370,489,580.26
  5. Step 5: Solve for x
    x = 180,370,489,580.26/477,498.51
  6. Step 6: Final answer
    x = 377,740.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.