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Finding the Fourth Proportional to 524,974.32, 786,821.73 and 272,115.40

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Solution

The fourth proportional to 524,974.32, 786,821.73 and 272,115.40 is: 407,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,974.32 : 786,821.73 = 272,115.40 : x
  2. Step 2: Convert to fraction form
    524,974.32/786,821.73 = 272,115.40/x
  3. Step 3: Cross multiply
    524,974.32x = 786,821.73 × 272,115.40
  4. Step 4: Simplify right side
    524,974.32x = 214,106,312,775.13
  5. Step 5: Solve for x
    x = 214,106,312,775.13/524,974.32
  6. Step 6: Final answer
    x = 407,841.50

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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.