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Finding the Fourth Proportional to 352,642.10, 528,088.35 and 282,658.10

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Solution

The fourth proportional to 352,642.10, 528,088.35 and 282,658.10 is: 423,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,642.10 : 528,088.35 = 282,658.10 : x
  2. Step 2: Convert to fraction form
    352,642.10/528,088.35 = 282,658.10/x
  3. Step 3: Cross multiply
    352,642.10x = 528,088.35 × 282,658.10
  4. Step 4: Simplify right side
    352,642.10x = 149,268,449,643.14
  5. Step 5: Solve for x
    x = 149,268,449,643.14/352,642.10
  6. Step 6: Final answer
    x = 423,285.96

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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.