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Finding the Fourth Proportional to 459,512.02, 634,120.95 and 258,308.02

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Solution

The fourth proportional to 459,512.02, 634,120.95 and 258,308.02 is: 356,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,512.02 : 634,120.95 = 258,308.02 : x
  2. Step 2: Convert to fraction form
    459,512.02/634,120.95 = 258,308.02/x
  3. Step 3: Cross multiply
    459,512.02x = 634,120.95 × 258,308.02
  4. Step 4: Simplify right side
    459,512.02x = 163,798,527,035.02
  5. Step 5: Solve for x
    x = 163,798,527,035.02/459,512.02
  6. Step 6: Final answer
    x = 356,461.90

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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.