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Finding the Fourth Proportional to 433,661.84, 650,118.54 and 208,712.79

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Solution

The fourth proportional to 433,661.84, 650,118.54 and 208,712.79 is: 312,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,661.84 : 650,118.54 = 208,712.79 : x
  2. Step 2: Convert to fraction form
    433,661.84/650,118.54 = 208,712.79/x
  3. Step 3: Cross multiply
    433,661.84x = 650,118.54 × 208,712.79
  4. Step 4: Simplify right side
    433,661.84x = 135,688,054,314.13
  5. Step 5: Solve for x
    x = 135,688,054,314.13/433,661.84
  6. Step 6: Final answer
    x = 312,889.08

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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.