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Finding the Fourth Proportional to 510,430.26, 765,587.01 and 136,482.42

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Solution

The fourth proportional to 510,430.26, 765,587.01 and 136,482.42 is: 204,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,430.26 : 765,587.01 = 136,482.42 : x
  2. Step 2: Convert to fraction form
    510,430.26/765,587.01 = 136,482.42/x
  3. Step 3: Cross multiply
    510,430.26x = 765,587.01 × 136,482.42
  4. Step 4: Simplify right side
    510,430.26x = 104,489,164,017.43
  5. Step 5: Solve for x
    x = 104,489,164,017.43/510,430.26
  6. Step 6: Final answer
    x = 204,708.01

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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.