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Finding the Fourth Proportional to 397,307.50, 596,335.77 and 144,832.02

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Solution

The fourth proportional to 397,307.50, 596,335.77 and 144,832.02 is: 217,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,307.50 : 596,335.77 = 144,832.02 : x
  2. Step 2: Convert to fraction form
    397,307.50/596,335.77 = 144,832.02/x
  3. Step 3: Cross multiply
    397,307.50x = 596,335.77 × 144,832.02
  4. Step 4: Simplify right side
    397,307.50x = 86,368,514,167.36
  5. Step 5: Solve for x
    x = 86,368,514,167.36/397,307.50
  6. Step 6: Final answer
    x = 217,384.56

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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.