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Finding the Fourth Proportional to 707,757.96, 976,802.30 and 417,451.63

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Solution

The fourth proportional to 707,757.96, 976,802.30 and 417,451.63 is: 576,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,757.96 : 976,802.30 = 417,451.63 : x
  2. Step 2: Convert to fraction form
    707,757.96/976,802.30 = 417,451.63/x
  3. Step 3: Cross multiply
    707,757.96x = 976,802.30 × 417,451.63
  4. Step 4: Simplify right side
    707,757.96x = 407,767,713,538.60
  5. Step 5: Solve for x
    x = 407,767,713,538.60/707,757.96
  6. Step 6: Final answer
    x = 576,140.06

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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.