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Finding the Fourth Proportional to 511,451.82, 705,841.95 and 296,590.01

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Solution

The fourth proportional to 511,451.82, 705,841.95 and 296,590.01 is: 409,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,451.82 : 705,841.95 = 296,590.01 : x
  2. Step 2: Convert to fraction form
    511,451.82/705,841.95 = 296,590.01/x
  3. Step 3: Cross multiply
    511,451.82x = 705,841.95 × 296,590.01
  4. Step 4: Simplify right side
    511,451.82x = 209,345,666,923.60
  5. Step 5: Solve for x
    x = 209,345,666,923.60/511,451.82
  6. Step 6: Final answer
    x = 409,316.50

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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.