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Finding the Fourth Proportional to 406,592.90, 561,089.82 and 225,303.24

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Solution

The fourth proportional to 406,592.90, 561,089.82 and 225,303.24 is: 310,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,592.90 : 561,089.82 = 225,303.24 : x
  2. Step 2: Convert to fraction form
    406,592.90/561,089.82 = 225,303.24/x
  3. Step 3: Cross multiply
    406,592.90x = 561,089.82 × 225,303.24
  4. Step 4: Simplify right side
    406,592.90x = 126,415,354,377.02
  5. Step 5: Solve for x
    x = 126,415,354,377.02/406,592.90
  6. Step 6: Final answer
    x = 310,913.83

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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.