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Finding the Fourth Proportional to 406,973.70, 610,460.55 and 265,256.10

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Solution

The fourth proportional to 406,973.70, 610,460.55 and 265,256.10 is: 397,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,973.70 : 610,460.55 = 265,256.10 : x
  2. Step 2: Convert to fraction form
    406,973.70/610,460.55 = 265,256.10/x
  3. Step 3: Cross multiply
    406,973.70x = 610,460.55 × 265,256.10
  4. Step 4: Simplify right side
    406,973.70x = 161,928,384,696.86
  5. Step 5: Solve for x
    x = 161,928,384,696.86/406,973.70
  6. Step 6: Final answer
    x = 397,884.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.