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Finding the Fourth Proportional to 438,967.16, 658,445.94 and 106,543.16

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Solution

The fourth proportional to 438,967.16, 658,445.94 and 106,543.16 is: 159,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,967.16 : 658,445.94 = 106,543.16 : x
  2. Step 2: Convert to fraction form
    438,967.16/658,445.94 = 106,543.16/x
  3. Step 3: Cross multiply
    438,967.16x = 658,445.94 × 106,543.16
  4. Step 4: Simplify right side
    438,967.16x = 70,152,911,136.77
  5. Step 5: Solve for x
    x = 70,152,911,136.77/438,967.16
  6. Step 6: Final answer
    x = 159,813.57

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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.