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Finding the Fourth Proportional to 466,698.50, 700,047.76 and 134,274.50

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Solution

The fourth proportional to 466,698.50, 700,047.76 and 134,274.50 is: 201,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,698.50 : 700,047.76 = 134,274.50 : x
  2. Step 2: Convert to fraction form
    466,698.50/700,047.76 = 134,274.50/x
  3. Step 3: Cross multiply
    466,698.50x = 700,047.76 × 134,274.50
  4. Step 4: Simplify right side
    466,698.50x = 93,998,562,950.12
  5. Step 5: Solve for x
    x = 93,998,562,950.12/466,698.50
  6. Step 6: Final answer
    x = 201,411.75

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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.