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Finding the Fourth Proportional to 315,336.80, 473,005.20 and 302,895.20

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Solution

The fourth proportional to 315,336.80, 473,005.20 and 302,895.20 is: 454,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,336.80 : 473,005.20 = 302,895.20 : x
  2. Step 2: Convert to fraction form
    315,336.80/473,005.20 = 302,895.20/x
  3. Step 3: Cross multiply
    315,336.80x = 473,005.20 × 302,895.20
  4. Step 4: Simplify right side
    315,336.80x = 143,271,004,655.04
  5. Step 5: Solve for x
    x = 143,271,004,655.04/315,336.80
  6. Step 6: Final answer
    x = 454,342.80

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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.