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Finding the Fourth Proportional to 584,776.32, 806,998.14 and 343,063.08

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Solution

The fourth proportional to 584,776.32, 806,998.14 and 343,063.08 is: 473,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,776.32 : 806,998.14 = 343,063.08 : x
  2. Step 2: Convert to fraction form
    584,776.32/806,998.14 = 343,063.08/x
  3. Step 3: Cross multiply
    584,776.32x = 806,998.14 × 343,063.08
  4. Step 4: Simplify right side
    584,776.32x = 276,851,267,462.67
  5. Step 5: Solve for x
    x = 276,851,267,462.67/584,776.32
  6. Step 6: Final answer
    x = 473,431.05

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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.