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Finding the Fourth Proportional to 406,403.64, 560,783.86 and 234,328.08

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Solution

The fourth proportional to 406,403.64, 560,783.86 and 234,328.08 is: 323,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,403.64 : 560,783.86 = 234,328.08 : x
  2. Step 2: Convert to fraction form
    406,403.64/560,783.86 = 234,328.08/x
  3. Step 3: Cross multiply
    406,403.64x = 560,783.86 × 234,328.08
  4. Step 4: Simplify right side
    406,403.64x = 131,407,405,208.79
  5. Step 5: Solve for x
    x = 131,407,405,208.79/406,403.64
  6. Step 6: Final answer
    x = 323,342.10

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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.