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Finding the Fourth Proportional to 410,884.16, 616,326.24 and 111,364.74

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Solution

The fourth proportional to 410,884.16, 616,326.24 and 111,364.74 is: 167,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,884.16 : 616,326.24 = 111,364.74 : x
  2. Step 2: Convert to fraction form
    410,884.16/616,326.24 = 111,364.74/x
  3. Step 3: Cross multiply
    410,884.16x = 616,326.24 × 111,364.74
  4. Step 4: Simplify right side
    410,884.16x = 68,637,011,890.40
  5. Step 5: Solve for x
    x = 68,637,011,890.40/410,884.16
  6. Step 6: Final answer
    x = 167,047.11

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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.