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Finding the Fourth Proportional to 390,595.93, 585,791.37 and 165,840.67

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Solution

The fourth proportional to 390,595.93, 585,791.37 and 165,840.67 is: 248,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,595.93 : 585,791.37 = 165,840.67 : x
  2. Step 2: Convert to fraction form
    390,595.93/585,791.37 = 165,840.67/x
  3. Step 3: Cross multiply
    390,595.93x = 585,791.37 × 165,840.67
  4. Step 4: Simplify right side
    390,595.93x = 97,148,033,281.02
  5. Step 5: Solve for x
    x = 97,148,033,281.02/390,595.93
  6. Step 6: Final answer
    x = 248,717.47

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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.