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Finding the Fourth Proportional to 586,180.68, 879,409.22 and 466,689.38

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Solution

The fourth proportional to 586,180.68, 879,409.22 and 466,689.38 is: 700,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,180.68 : 879,409.22 = 466,689.38 : x
  2. Step 2: Convert to fraction form
    586,180.68/879,409.22 = 466,689.38/x
  3. Step 3: Cross multiply
    586,180.68x = 879,409.22 × 466,689.38
  4. Step 4: Simplify right side
    586,180.68x = 410,410,943,648.08
  5. Step 5: Solve for x
    x = 410,410,943,648.08/586,180.68
  6. Step 6: Final answer
    x = 700,144.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.