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Finding the Fourth Proportional to 536,156.25, 803,741.54 and 232,359.93

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Solution

The fourth proportional to 536,156.25, 803,741.54 and 232,359.93 is: 348,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,156.25 : 803,741.54 = 232,359.93 : x
  2. Step 2: Convert to fraction form
    536,156.25/803,741.54 = 232,359.93/x
  3. Step 3: Cross multiply
    536,156.25x = 803,741.54 × 232,359.93
  4. Step 4: Simplify right side
    536,156.25x = 186,757,326,810.69
  5. Step 5: Solve for x
    x = 186,757,326,810.69/536,156.25
  6. Step 6: Final answer
    x = 348,326.31

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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.