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Finding the Fourth Proportional to 459,445.50, 634,035.06 and 258,241.50

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Solution

The fourth proportional to 459,445.50, 634,035.06 and 258,241.50 is: 356,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,445.50 : 634,035.06 = 258,241.50 : x
  2. Step 2: Convert to fraction form
    459,445.50/634,035.06 = 258,241.50/x
  3. Step 3: Cross multiply
    459,445.50x = 634,035.06 × 258,241.50
  4. Step 4: Simplify right side
    459,445.50x = 163,734,164,946.99
  5. Step 5: Solve for x
    x = 163,734,164,946.99/459,445.50
  6. Step 6: Final answer
    x = 356,373.42

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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.