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Finding the Fourth Proportional to 510,957.66, 705,087.84 and 306,887.33

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Solution

The fourth proportional to 510,957.66, 705,087.84 and 306,887.33 is: 423,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,957.66 : 705,087.84 = 306,887.33 : x
  2. Step 2: Convert to fraction form
    510,957.66/705,087.84 = 306,887.33/x
  3. Step 3: Cross multiply
    510,957.66x = 705,087.84 × 306,887.33
  4. Step 4: Simplify right side
    510,957.66x = 216,382,524,633.07
  5. Step 5: Solve for x
    x = 216,382,524,633.07/510,957.66
  6. Step 6: Final answer
    x = 423,484.26

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1.5x scale

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.