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Finding the Fourth Proportional to 472,346.92, 707,392.86 and 261,461.80

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Solution

The fourth proportional to 472,346.92, 707,392.86 and 261,461.80 is: 391,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,346.92 : 707,392.86 = 261,461.80 : x
  2. Step 2: Convert to fraction form
    472,346.92/707,392.86 = 261,461.80/x
  3. Step 3: Cross multiply
    472,346.92x = 707,392.86 × 261,461.80
  4. Step 4: Simplify right side
    472,346.92x = 184,956,210,482.75
  5. Step 5: Solve for x
    x = 184,956,210,482.75/472,346.92
  6. Step 6: Final answer
    x = 391,568.58

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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.