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Finding the Fourth Proportional to 524,237.45, 785,094.95 and 298,914.78

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Solution

The fourth proportional to 524,237.45, 785,094.95 and 298,914.78 is: 447,653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,237.45 : 785,094.95 = 298,914.78 : x
  2. Step 2: Convert to fraction form
    524,237.45/785,094.95 = 298,914.78/x
  3. Step 3: Cross multiply
    524,237.45x = 785,094.95 × 298,914.78
  4. Step 4: Simplify right side
    524,237.45x = 234,676,478,838.31
  5. Step 5: Solve for x
    x = 234,676,478,838.31/524,237.45
  6. Step 6: Final answer
    x = 447,653.02

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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.