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Finding the Fourth Proportional to 406,113.52, 560,409.96 and 224,812.84

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Solution

The fourth proportional to 406,113.52, 560,409.96 and 224,812.84 is: 310,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,113.52 : 560,409.96 = 224,812.84 : x
  2. Step 2: Convert to fraction form
    406,113.52/560,409.96 = 224,812.84/x
  3. Step 3: Cross multiply
    406,113.52x = 560,409.96 × 224,812.84
  4. Step 4: Simplify right side
    406,113.52x = 125,987,354,671.89
  5. Step 5: Solve for x
    x = 125,987,354,671.89/406,113.52
  6. Step 6: Final answer
    x = 310,226.94

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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.