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Finding the Fourth Proportional to 333,904.93, 500,915.71 and 146,911.57

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Solution

The fourth proportional to 333,904.93, 500,915.71 and 146,911.57 is: 220,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,904.93 : 500,915.71 = 146,911.57 : x
  2. Step 2: Convert to fraction form
    333,904.93/500,915.71 = 146,911.57/x
  3. Step 3: Cross multiply
    333,904.93x = 500,915.71 × 146,911.57
  4. Step 4: Simplify right side
    333,904.93x = 73,590,310,889.19
  5. Step 5: Solve for x
    x = 73,590,310,889.19/333,904.93
  6. Step 6: Final answer
    x = 220,393.01

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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.