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Finding the Fourth Proportional to 301,154.90, 415,592.59 and 186,410.67

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Solution

The fourth proportional to 301,154.90, 415,592.59 and 186,410.67 is: 257,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,154.90 : 415,592.59 = 186,410.67 : x
  2. Step 2: Convert to fraction form
    301,154.90/415,592.59 = 186,410.67/x
  3. Step 3: Cross multiply
    301,154.90x = 415,592.59 × 186,410.67
  4. Step 4: Simplify right side
    301,154.90x = 77,470,891,473.96
  5. Step 5: Solve for x
    x = 77,470,891,473.96/301,154.90
  6. Step 6: Final answer
    x = 257,246.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.