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Finding the Fourth Proportional to 477,327.42, 715,518.09 and 224,154.68

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Solution

The fourth proportional to 477,327.42, 715,518.09 and 224,154.68 is: 336,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,327.42 : 715,518.09 = 224,154.68 : x
  2. Step 2: Convert to fraction form
    477,327.42/715,518.09 = 224,154.68/x
  3. Step 3: Cross multiply
    477,327.42x = 715,518.09 × 224,154.68
  4. Step 4: Simplify right side
    477,327.42x = 160,386,724,920.57
  5. Step 5: Solve for x
    x = 160,386,724,920.57/477,327.42
  6. Step 6: Final answer
    x = 336,009.87

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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.