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Finding the Fourth Proportional to 710,301.82, 980,246.31 and 408,496.06

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Solution

The fourth proportional to 710,301.82, 980,246.31 and 408,496.06 is: 563,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,301.82 : 980,246.31 = 408,496.06 : x
  2. Step 2: Convert to fraction form
    710,301.82/980,246.31 = 408,496.06/x
  3. Step 3: Cross multiply
    710,301.82x = 980,246.31 × 408,496.06
  4. Step 4: Simplify right side
    710,301.82x = 400,426,755,464.54
  5. Step 5: Solve for x
    x = 400,426,755,464.54/710,301.82
  6. Step 6: Final answer
    x = 563,741.70

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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.