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Finding the Fourth Proportional to 843,655.11, 1,164,064.01 and 499,599.11

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Solution

The fourth proportional to 843,655.11, 1,164,064.01 and 499,599.11 is: 689,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,655.11 : 1,164,064.01 = 499,599.11 : x
  2. Step 2: Convert to fraction form
    843,655.11/1,164,064.01 = 499,599.11/x
  3. Step 3: Cross multiply
    843,655.11x = 1,164,064.01 × 499,599.11
  4. Step 4: Simplify right side
    843,655.11x = 581,565,335,060.72
  5. Step 5: Solve for x
    x = 581,565,335,060.72/843,655.11
  6. Step 6: Final answer
    x = 689,340.14

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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.