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Finding the Fourth Proportional to 650,136.66, 974,854.35 and 294,956.88

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Solution

The fourth proportional to 650,136.66, 974,854.35 and 294,956.88 is: 442,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,136.66 : 974,854.35 = 294,956.88 : x
  2. Step 2: Convert to fraction form
    650,136.66/974,854.35 = 294,956.88/x
  3. Step 3: Cross multiply
    650,136.66x = 974,854.35 × 294,956.88
  4. Step 4: Simplify right side
    650,136.66x = 287,539,997,530.43
  5. Step 5: Solve for x
    x = 287,539,997,530.43/650,136.66
  6. Step 6: Final answer
    x = 442,276.24

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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.