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Finding the Fourth Proportional to 330,462, 456,038.78 and 179,559

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Solution

The fourth proportional to 330,462, 456,038.78 and 179,559 is: 247,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,462 : 456,038.78 = 179,559 : x
  2. Step 2: Convert to fraction form
    330,462/456,038.78 = 179,559/x
  3. Step 3: Cross multiply
    330,462x = 456,038.78 × 179,559
  4. Step 4: Simplify right side
    330,462x = 81,885,866,400.23
  5. Step 5: Solve for x
    x = 81,885,866,400.23/330,462
  6. Step 6: Final answer
    x = 247,792.08

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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.