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Finding the Fourth Proportional to 634,953.84, 952,452.72 and 319,238.64

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Solution

The fourth proportional to 634,953.84, 952,452.72 and 319,238.64 is: 478,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,953.84 : 952,452.72 = 319,238.64 : x
  2. Step 2: Convert to fraction form
    634,953.84/952,452.72 = 319,238.64/x
  3. Step 3: Cross multiply
    634,953.84x = 952,452.72 × 319,238.64
  4. Step 4: Simplify right side
    634,953.84x = 304,059,710,997.10
  5. Step 5: Solve for x
    x = 304,059,710,997.10/634,953.84
  6. Step 6: Final answer
    x = 478,869.00

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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.