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Finding the Fourth Proportional to 510,444, 765,607.62 and 136,496.16

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Solution

The fourth proportional to 510,444, 765,607.62 and 136,496.16 is: 204,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,444 : 765,607.62 = 136,496.16 : x
  2. Step 2: Convert to fraction form
    510,444/765,607.62 = 136,496.16/x
  3. Step 3: Cross multiply
    510,444x = 765,607.62 × 136,496.16
  4. Step 4: Simplify right side
    510,444x = 104,502,500,196.74
  5. Step 5: Solve for x
    x = 104,502,500,196.74/510,444
  6. Step 6: Final answer
    x = 204,728.63

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1.5x scale

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.