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Finding the Fourth Proportional to 583,715.82, 805,102.66 and 446,205.62

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Solution

The fourth proportional to 583,715.82, 805,102.66 and 446,205.62 is: 615,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,715.82 : 805,102.66 = 446,205.62 : x
  2. Step 2: Convert to fraction form
    583,715.82/805,102.66 = 446,205.62/x
  3. Step 3: Cross multiply
    583,715.82x = 805,102.66 × 446,205.62
  4. Step 4: Simplify right side
    583,715.82x = 359,241,331,568.95
  5. Step 5: Solve for x
    x = 359,241,331,568.95/583,715.82
  6. Step 6: Final answer
    x = 615,438.74

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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.