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Finding the Fourth Proportional to 511,988.08, 767,953.41 and 157,001.13

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Solution

The fourth proportional to 511,988.08, 767,953.41 and 157,001.13 is: 235,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,988.08 : 767,953.41 = 157,001.13 : x
  2. Step 2: Convert to fraction form
    511,988.08/767,953.41 = 157,001.13/x
  3. Step 3: Cross multiply
    511,988.08x = 767,953.41 × 157,001.13
  4. Step 4: Simplify right side
    511,988.08x = 120,569,553,157.35
  5. Step 5: Solve for x
    x = 120,569,553,157.35/511,988.08
  6. Step 6: Final answer
    x = 235,492.89

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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.