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Finding the Fourth Proportional to 635,312.64, 952,909.76 and 214,592.16

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Solution

The fourth proportional to 635,312.64, 952,909.76 and 214,592.16 is: 321,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,312.64 : 952,909.76 = 214,592.16 : x
  2. Step 2: Convert to fraction form
    635,312.64/952,909.76 = 214,592.16/x
  3. Step 3: Cross multiply
    635,312.64x = 952,909.76 × 214,592.16
  4. Step 4: Simplify right side
    635,312.64x = 204,486,963,683.48
  5. Step 5: Solve for x
    x = 204,486,963,683.48/635,312.64
  6. Step 6: Final answer
    x = 321,868.24

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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.