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Finding the Fourth Proportional to 402,416.79, 603,718.47 and 118,095.81

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Solution

The fourth proportional to 402,416.79, 603,718.47 and 118,095.81 is: 177,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,416.79 : 603,718.47 = 118,095.81 : x
  2. Step 2: Convert to fraction form
    402,416.79/603,718.47 = 118,095.81/x
  3. Step 3: Cross multiply
    402,416.79x = 603,718.47 × 118,095.81
  4. Step 4: Simplify right side
    402,416.79x = 71,296,621,726.61
  5. Step 5: Solve for x
    x = 71,296,621,726.61/402,416.79
  6. Step 6: Final answer
    x = 177,171.09

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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.