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Finding the Fourth Proportional to 466,355.29, 643,599.64 and 282,609.95

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Solution

The fourth proportional to 466,355.29, 643,599.64 and 282,609.95 is: 390,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,355.29 : 643,599.64 = 282,609.95 : x
  2. Step 2: Convert to fraction form
    466,355.29/643,599.64 = 282,609.95/x
  3. Step 3: Cross multiply
    466,355.29x = 643,599.64 × 282,609.95
  4. Step 4: Simplify right side
    466,355.29x = 181,887,657,449.37
  5. Step 5: Solve for x
    x = 181,887,657,449.37/466,355.29
  6. Step 6: Final answer
    x = 390,019.50

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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.