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Finding the Fourth Proportional to 333,094.30, 499,569.82 and 105,407.94

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Solution

The fourth proportional to 333,094.30, 499,569.82 and 105,407.94 is: 158,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,094.30 : 499,569.82 = 105,407.94 : x
  2. Step 2: Convert to fraction form
    333,094.30/499,569.82 = 105,407.94/x
  3. Step 3: Cross multiply
    333,094.30x = 499,569.82 × 105,407.94
  4. Step 4: Simplify right side
    333,094.30x = 52,658,625,612.37
  5. Step 5: Solve for x
    x = 52,658,625,612.37/333,094.30
  6. Step 6: Final answer
    x = 158,089.24

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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.