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Finding the Fourth Proportional to 315,293.48, 472,937.10 and 144,466.77

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Solution

The fourth proportional to 315,293.48, 472,937.10 and 144,466.77 is: 216,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,293.48 : 472,937.10 = 144,466.77 : x
  2. Step 2: Convert to fraction form
    315,293.48/472,937.10 = 144,466.77/x
  3. Step 3: Cross multiply
    315,293.48x = 472,937.10 × 144,466.77
  4. Step 4: Simplify right side
    315,293.48x = 68,323,695,250.17
  5. Step 5: Solve for x
    x = 68,323,695,250.17/315,293.48
  6. Step 6: Final answer
    x = 216,698.73

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1.5x scale

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.