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Finding the Fourth Proportional to 972,568.11, 1,458,722.93 and 289,442.70

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Solution

The fourth proportional to 972,568.11, 1,458,722.93 and 289,442.70 is: 434,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,568.11 : 1,458,722.93 = 289,442.70 : x
  2. Step 2: Convert to fraction form
    972,568.11/1,458,722.93 = 289,442.70/x
  3. Step 3: Cross multiply
    972,568.11x = 1,458,722.93 × 289,442.70
  4. Step 4: Simplify right side
    972,568.11x = 422,216,696,117.50
  5. Step 5: Solve for x
    x = 422,216,696,117.50/972,568.11
  6. Step 6: Final answer
    x = 434,125.58

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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.