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Finding the Fourth Proportional to 333,913.60, 500,928.76 and 146,920.24

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Solution

The fourth proportional to 333,913.60, 500,928.76 and 146,920.24 is: 220,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,913.60 : 500,928.76 = 146,920.24 : x
  2. Step 2: Convert to fraction form
    333,913.60/500,928.76 = 146,920.24/x
  3. Step 3: Cross multiply
    333,913.60x = 500,928.76 × 146,920.24
  4. Step 4: Simplify right side
    333,913.60x = 73,596,573,642.10
  5. Step 5: Solve for x
    x = 73,596,573,642.10/333,913.60
  6. Step 6: Final answer
    x = 220,406.04

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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.