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Finding the Fourth Proportional to 677,903.76, 935,536.50 and 406,015.92

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Solution

The fourth proportional to 677,903.76, 935,536.50 and 406,015.92 is: 560,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,903.76 : 935,536.50 = 406,015.92 : x
  2. Step 2: Convert to fraction form
    677,903.76/935,536.50 = 406,015.92/x
  3. Step 3: Cross multiply
    677,903.76x = 935,536.50 × 406,015.92
  4. Step 4: Simplify right side
    677,903.76x = 379,842,712,741.08
  5. Step 5: Solve for x
    x = 379,842,712,741.08/677,903.76
  6. Step 6: Final answer
    x = 560,319.52

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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.