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Finding the Fourth Proportional to 460,099.90, 634,922.30 and 258,857.02

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Solution

The fourth proportional to 460,099.90, 634,922.30 and 258,857.02 is: 357,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,099.90 : 634,922.30 = 258,857.02 : x
  2. Step 2: Convert to fraction form
    460,099.90/634,922.30 = 258,857.02/x
  3. Step 3: Cross multiply
    460,099.90x = 634,922.30 × 258,857.02
  4. Step 4: Simplify right side
    460,099.90x = 164,354,094,509.55
  5. Step 5: Solve for x
    x = 164,354,094,509.55/460,099.90
  6. Step 6: Final answer
    x = 357,213.93

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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.