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Finding the Fourth Proportional to 650,465.75, 975,282.36 and 312,833.94

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Solution

The fourth proportional to 650,465.75, 975,282.36 and 312,833.94 is: 469,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,465.75 : 975,282.36 = 312,833.94 : x
  2. Step 2: Convert to fraction form
    650,465.75/975,282.36 = 312,833.94/x
  3. Step 3: Cross multiply
    650,465.75x = 975,282.36 × 312,833.94
  4. Step 4: Simplify right side
    650,465.75x = 305,101,423,291.30
  5. Step 5: Solve for x
    x = 305,101,423,291.30/650,465.75
  6. Step 6: Final answer
    x = 469,050.72

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