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Finding the Fourth Proportional to 707,897.57, 976,867.13 and 413,574.56

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Solution

The fourth proportional to 707,897.57, 976,867.13 and 413,574.56 is: 570,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,897.57 : 976,867.13 = 413,574.56 : x
  2. Step 2: Convert to fraction form
    707,897.57/976,867.13 = 413,574.56/x
  3. Step 3: Cross multiply
    707,897.57x = 976,867.13 × 413,574.56
  4. Step 4: Simplify right side
    707,897.57x = 404,007,393,842.51
  5. Step 5: Solve for x
    x = 404,007,393,842.51/707,897.57
  6. Step 6: Final answer
    x = 570,714.48

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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.