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Finding the Fourth Proportional to 524,095.70, 786,328.07 and 258,043.05

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Solution

The fourth proportional to 524,095.70, 786,328.07 and 258,043.05 is: 387,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,095.70 : 786,328.07 = 258,043.05 : x
  2. Step 2: Convert to fraction form
    524,095.70/786,328.07 = 258,043.05/x
  3. Step 3: Cross multiply
    524,095.70x = 786,328.07 × 258,043.05
  4. Step 4: Simplify right side
    524,095.70x = 202,906,492,193.20
  5. Step 5: Solve for x
    x = 202,906,492,193.20/524,095.70
  6. Step 6: Final answer
    x = 387,155.43

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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.