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Finding the Fourth Proportional to 470,775.84, 705,482.19 and 324,565.65

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Solution

The fourth proportional to 470,775.84, 705,482.19 and 324,565.65 is: 486,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,775.84 : 705,482.19 = 324,565.65 : x
  2. Step 2: Convert to fraction form
    470,775.84/705,482.19 = 324,565.65/x
  3. Step 3: Cross multiply
    470,775.84x = 705,482.19 × 324,565.65
  4. Step 4: Simplify right side
    470,775.84x = 228,975,285,560.77
  5. Step 5: Solve for x
    x = 228,975,285,560.77/470,775.84
  6. Step 6: Final answer
    x = 486,378.58

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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.