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Finding the Fourth Proportional to 511,456.80, 715,106.40 and 511,456.80

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Solution

The fourth proportional to 511,456.80, 715,106.40 and 511,456.80 is: 715,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,456.80 : 715,106.40 = 511,456.80 : x
  2. Step 2: Convert to fraction form
    511,456.80/715,106.40 = 511,456.80/x
  3. Step 3: Cross multiply
    511,456.80x = 715,106.40 × 511,456.80
  4. Step 4: Simplify right side
    511,456.80x = 365,746,031,003.52
  5. Step 5: Solve for x
    x = 365,746,031,003.52/511,456.80
  6. Step 6: Final answer
    x = 715,106.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.