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Finding the Fourth Proportional to 458,962.02, 633,361.95 and 257,758.02

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Solution

The fourth proportional to 458,962.02, 633,361.95 and 257,758.02 is: 355,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,962.02 : 633,361.95 = 257,758.02 : x
  2. Step 2: Convert to fraction form
    458,962.02/633,361.95 = 257,758.02/x
  3. Step 3: Cross multiply
    458,962.02x = 633,361.95 × 257,758.02
  4. Step 4: Simplify right side
    458,962.02x = 163,254,122,175.34
  5. Step 5: Solve for x
    x = 163,254,122,175.34/458,962.02
  6. Step 6: Final answer
    x = 355,702.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.