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Finding the Fourth Proportional to 314,307.34, 471,587.25 and 143,609.95

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Solution

The fourth proportional to 314,307.34, 471,587.25 and 143,609.95 is: 215,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,307.34 : 471,587.25 = 143,609.95 : x
  2. Step 2: Convert to fraction form
    314,307.34/471,587.25 = 143,609.95/x
  3. Step 3: Cross multiply
    314,307.34x = 471,587.25 × 143,609.95
  4. Step 4: Simplify right side
    314,307.34x = 67,724,621,393.14
  5. Step 5: Solve for x
    x = 67,724,621,393.14/314,307.34
  6. Step 6: Final answer
    x = 215,472.61

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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.