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Finding the Fourth Proportional to 309,607.79, 464,478.35 and 96,371.18

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Solution

The fourth proportional to 309,607.79, 464,478.35 and 96,371.18 is: 144,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,607.79 : 464,478.35 = 96,371.18 : x
  2. Step 2: Convert to fraction form
    309,607.79/464,478.35 = 96,371.18/x
  3. Step 3: Cross multiply
    309,607.79x = 464,478.35 × 96,371.18
  4. Step 4: Simplify right side
    309,607.79x = 44,762,323,869.71
  5. Step 5: Solve for x
    x = 44,762,323,869.71/309,607.79
  6. Step 6: Final answer
    x = 144,577.51

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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.