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Finding the Fourth Proportional to 524,728.61, 783,000.52 and 468,180.08

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Solution

The fourth proportional to 524,728.61, 783,000.52 and 468,180.08 is: 698,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,728.61 : 783,000.52 = 468,180.08 : x
  2. Step 2: Convert to fraction form
    524,728.61/783,000.52 = 468,180.08/x
  3. Step 3: Cross multiply
    524,728.61x = 783,000.52 × 468,180.08
  4. Step 4: Simplify right side
    524,728.61x = 366,585,243,944.44
  5. Step 5: Solve for x
    x = 366,585,243,944.44/524,728.61
  6. Step 6: Final answer
    x = 698,618.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.