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Finding the Fourth Proportional to 406,319.60, 560,746.32 and 225,022.16

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Solution

The fourth proportional to 406,319.60, 560,746.32 and 225,022.16 is: 310,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,319.60 : 560,746.32 = 225,022.16 : x
  2. Step 2: Convert to fraction form
    406,319.60/560,746.32 = 225,022.16/x
  3. Step 3: Cross multiply
    406,319.60x = 560,746.32 × 225,022.16
  4. Step 4: Simplify right side
    406,319.60x = 126,180,348,138.45
  5. Step 5: Solve for x
    x = 126,180,348,138.45/406,319.60
  6. Step 6: Final answer
    x = 310,544.58

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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.