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Finding the Fourth Proportional to 314,392.83, 469,450.74 and 296,633.04

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Solution

The fourth proportional to 314,392.83, 469,450.74 and 296,633.04 is: 442,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,392.83 : 469,450.74 = 296,633.04 : x
  2. Step 2: Convert to fraction form
    314,392.83/469,450.74 = 296,633.04/x
  3. Step 3: Cross multiply
    314,392.83x = 469,450.74 × 296,633.04
  4. Step 4: Simplify right side
    314,392.83x = 139,254,600,136.45
  5. Step 5: Solve for x
    x = 139,254,600,136.45/314,392.83
  6. Step 6: Final answer
    x = 442,931.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.