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Finding the Fourth Proportional to 586,179.68, 879,407.72 and 466,688.38

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Solution

The fourth proportional to 586,179.68, 879,407.72 and 466,688.38 is: 700,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,179.68 : 879,407.72 = 466,688.38 : x
  2. Step 2: Convert to fraction form
    586,179.68/879,407.72 = 466,688.38/x
  3. Step 3: Cross multiply
    586,179.68x = 879,407.72 × 466,688.38
  4. Step 4: Simplify right side
    586,179.68x = 410,409,364,206.29
  5. Step 5: Solve for x
    x = 410,409,364,206.29/586,179.68
  6. Step 6: Final answer
    x = 700,142.60

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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.