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Finding the Fourth Proportional to 459,888.66, 689,916.42 and 190,017.32

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Solution

The fourth proportional to 459,888.66, 689,916.42 and 190,017.32 is: 285,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,888.66 : 689,916.42 = 190,017.32 : x
  2. Step 2: Convert to fraction form
    459,888.66/689,916.42 = 190,017.32/x
  3. Step 3: Cross multiply
    459,888.66x = 689,916.42 × 190,017.32
  4. Step 4: Simplify right side
    459,888.66x = 131,096,065,702.81
  5. Step 5: Solve for x
    x = 131,096,065,702.81/459,888.66
  6. Step 6: Final answer
    x = 285,060.44

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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.