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Finding the Fourth Proportional to 758,306, 1,046,767.56 and 516,832.58

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Solution

The fourth proportional to 758,306, 1,046,767.56 and 516,832.58 is: 713,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,306 : 1,046,767.56 = 516,832.58 : x
  2. Step 2: Convert to fraction form
    758,306/1,046,767.56 = 516,832.58/x
  3. Step 3: Cross multiply
    758,306x = 1,046,767.56 × 516,832.58
  4. Step 4: Simplify right side
    758,306x = 541,003,578,695.11
  5. Step 5: Solve for x
    x = 541,003,578,695.11/758,306
  6. Step 6: Final answer
    x = 713,437.03

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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.