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Finding the Fourth Proportional to 649,533.80, 974,448.30 and 294,649.40

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Solution

The fourth proportional to 649,533.80, 974,448.30 and 294,649.40 is: 442,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,533.80 : 974,448.30 = 294,649.40 : x
  2. Step 2: Convert to fraction form
    649,533.80/974,448.30 = 294,649.40/x
  3. Step 3: Cross multiply
    649,533.80x = 974,448.30 × 294,649.40
  4. Step 4: Simplify right side
    649,533.80x = 287,120,606,926.02
  5. Step 5: Solve for x
    x = 287,120,606,926.02/649,533.80
  6. Step 6: Final answer
    x = 442,041.06

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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.