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Finding the Fourth Proportional to 314,567.62, 471,926.25 and 101,355.71

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Solution

The fourth proportional to 314,567.62, 471,926.25 and 101,355.71 is: 152,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,567.62 : 471,926.25 = 101,355.71 : x
  2. Step 2: Convert to fraction form
    314,567.62/471,926.25 = 101,355.71/x
  3. Step 3: Cross multiply
    314,567.62x = 471,926.25 × 101,355.71
  4. Step 4: Simplify right side
    314,567.62x = 47,832,417,776.76
  5. Step 5: Solve for x
    x = 47,832,417,776.76/314,567.62
  6. Step 6: Final answer
    x = 152,057.67

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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.