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Finding the Fourth Proportional to 511,461.82, 705,855.72 and 296,600.02

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Solution

The fourth proportional to 511,461.82, 705,855.72 and 296,600.02 is: 409,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,461.82 : 705,855.72 = 296,600.02 : x
  2. Step 2: Convert to fraction form
    511,461.82/705,855.72 = 296,600.02/x
  3. Step 3: Cross multiply
    511,461.82x = 705,855.72 × 296,600.02
  4. Step 4: Simplify right side
    511,461.82x = 209,356,820,669.11
  5. Step 5: Solve for x
    x = 209,356,820,669.11/511,461.82
  6. Step 6: Final answer
    x = 409,330.30

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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.