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Finding the Fourth Proportional to 302,502, 454,033.56 and 152,847.40

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Solution

The fourth proportional to 302,502, 454,033.56 and 152,847.40 is: 229,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,502 : 454,033.56 = 152,847.40 : x
  2. Step 2: Convert to fraction form
    302,502/454,033.56 = 152,847.40/x
  3. Step 3: Cross multiply
    302,502x = 454,033.56 × 152,847.40
  4. Step 4: Simplify right side
    302,502x = 69,397,849,158.74
  5. Step 5: Solve for x
    x = 69,397,849,158.74/302,502
  6. Step 6: Final answer
    x = 229,412.86

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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.