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Finding the Fourth Proportional to 610,064.64, 914,784.96 and 254,981.76

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Solution

The fourth proportional to 610,064.64, 914,784.96 and 254,981.76 is: 382,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,064.64 : 914,784.96 = 254,981.76 : x
  2. Step 2: Convert to fraction form
    610,064.64/914,784.96 = 254,981.76/x
  3. Step 3: Cross multiply
    610,064.64x = 914,784.96 × 254,981.76
  4. Step 4: Simplify right side
    610,064.64x = 233,253,479,122.33
  5. Step 5: Solve for x
    x = 233,253,479,122.33/610,064.64
  6. Step 6: Final answer
    x = 382,342.24

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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.