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Finding the Fourth Proportional to 613,588.68, 920,445.99 and 234,828.02

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Solution

The fourth proportional to 613,588.68, 920,445.99 and 234,828.02 is: 352,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,588.68 : 920,445.99 = 234,828.02 : x
  2. Step 2: Convert to fraction form
    613,588.68/920,445.99 = 234,828.02/x
  3. Step 3: Cross multiply
    613,588.68x = 920,445.99 × 234,828.02
  4. Step 4: Simplify right side
    613,588.68x = 216,146,507,317.48
  5. Step 5: Solve for x
    x = 216,146,507,317.48/613,588.68
  6. Step 6: Final answer
    x = 352,266.13

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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.