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Finding the Fourth Proportional to 473,652.50, 710,828.67 and 224,334.50

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Solution

The fourth proportional to 473,652.50, 710,828.67 and 224,334.50 is: 336,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,652.50 : 710,828.67 = 224,334.50 : x
  2. Step 2: Convert to fraction form
    473,652.50/710,828.67 = 224,334.50/x
  3. Step 3: Cross multiply
    473,652.50x = 710,828.67 × 224,334.50
  4. Step 4: Simplify right side
    473,652.50x = 159,463,394,270.12
  5. Step 5: Solve for x
    x = 159,463,394,270.12/473,652.50
  6. Step 6: Final answer
    x = 336,667.48

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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.