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Finding the Fourth Proportional to 406,526.32, 561,010.78 and 225,241.08

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Solution

The fourth proportional to 406,526.32, 561,010.78 and 225,241.08 is: 310,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,526.32 : 561,010.78 = 225,241.08 : x
  2. Step 2: Convert to fraction form
    406,526.32/561,010.78 = 225,241.08/x
  3. Step 3: Cross multiply
    406,526.32x = 561,010.78 × 225,241.08
  4. Step 4: Simplify right side
    406,526.32x = 126,362,673,978.84
  5. Step 5: Solve for x
    x = 126,362,673,978.84/406,526.32
  6. Step 6: Final answer
    x = 310,835.16

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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.