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Finding the Fourth Proportional to 531,528.48, 797,156.64 and 157,464

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Solution

The fourth proportional to 531,528.48, 797,156.64 and 157,464 is: 236,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,528.48 : 797,156.64 = 157,464 : x
  2. Step 2: Convert to fraction form
    531,528.48/797,156.64 = 157,464/x
  3. Step 3: Cross multiply
    531,528.48x = 797,156.64 × 157,464
  4. Step 4: Simplify right side
    531,528.48x = 125,523,473,160.96
  5. Step 5: Solve for x
    x = 125,523,473,160.96/531,528.48
  6. Step 6: Final answer
    x = 236,155.69

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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.