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Finding the Fourth Proportional to 524,184.48, 786,277.71 and 145,106.31

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Solution

The fourth proportional to 524,184.48, 786,277.71 and 145,106.31 is: 217,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,184.48 : 786,277.71 = 145,106.31 : x
  2. Step 2: Convert to fraction form
    524,184.48/786,277.71 = 145,106.31/x
  3. Step 3: Cross multiply
    524,184.48x = 786,277.71 × 145,106.31
  4. Step 4: Simplify right side
    524,184.48x = 114,093,857,133.35
  5. Step 5: Solve for x
    x = 114,093,857,133.35/524,184.48
  6. Step 6: Final answer
    x = 217,659.74

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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.