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Finding the Fourth Proportional to 616,135.58, 924,291.53 and 189,707.48

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Solution

The fourth proportional to 616,135.58, 924,291.53 and 189,707.48 is: 284,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,135.58 : 924,291.53 = 189,707.48 : x
  2. Step 2: Convert to fraction form
    616,135.58/924,291.53 = 189,707.48/x
  3. Step 3: Cross multiply
    616,135.58x = 924,291.53 × 189,707.48
  4. Step 4: Simplify right side
    616,135.58x = 175,345,016,941.64
  5. Step 5: Solve for x
    x = 175,345,016,941.64/616,135.58
  6. Step 6: Final answer
    x = 284,588.36

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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.