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Finding the Fourth Proportional to 306,411.40, 459,690.88 and 96,049.34

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Solution

The fourth proportional to 306,411.40, 459,690.88 and 96,049.34 is: 144,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,411.40 : 459,690.88 = 96,049.34 : x
  2. Step 2: Convert to fraction form
    306,411.40/459,690.88 = 96,049.34/x
  3. Step 3: Cross multiply
    306,411.40x = 459,690.88 × 96,049.34
  4. Step 4: Simplify right side
    306,411.40x = 44,153,005,075.36
  5. Step 5: Solve for x
    x = 44,153,005,075.36/306,411.40
  6. Step 6: Final answer
    x = 144,097.14

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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.