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Finding the Fourth Proportional to 405,752.96, 559,955.58 and 224,461.78

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Solution

The fourth proportional to 405,752.96, 559,955.58 and 224,461.78 is: 309,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,752.96 : 559,955.58 = 224,461.78 : x
  2. Step 2: Convert to fraction form
    405,752.96/559,955.58 = 224,461.78/x
  3. Step 3: Cross multiply
    405,752.96x = 559,955.58 × 224,461.78
  4. Step 4: Simplify right side
    405,752.96x = 125,688,626,207.73
  5. Step 5: Solve for x
    x = 125,688,626,207.73/405,752.96
  6. Step 6: Final answer
    x = 309,766.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.