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Finding the Fourth Proportional to 511,598.04, 767,266.16 and 151,684.74

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Solution

The fourth proportional to 511,598.04, 767,266.16 and 151,684.74 is: 227,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,598.04 : 767,266.16 = 151,684.74 : x
  2. Step 2: Convert to fraction form
    511,598.04/767,266.16 = 151,684.74/x
  3. Step 3: Cross multiply
    511,598.04x = 767,266.16 × 151,684.74
  4. Step 4: Simplify right side
    511,598.04x = 116,382,567,990.40
  5. Step 5: Solve for x
    x = 116,382,567,990.40/511,598.04
  6. Step 6: Final answer
    x = 227,488.30

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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.