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Finding the Fourth Proportional to 301,504.53, 416,077.08 and 165,547.28

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Solution

The fourth proportional to 301,504.53, 416,077.08 and 165,547.28 is: 228,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,504.53 : 416,077.08 = 165,547.28 : x
  2. Step 2: Convert to fraction form
    301,504.53/416,077.08 = 165,547.28/x
  3. Step 3: Cross multiply
    301,504.53x = 416,077.08 × 165,547.28
  4. Step 4: Simplify right side
    301,504.53x = 68,880,429,490.67
  5. Step 5: Solve for x
    x = 68,880,429,490.67/301,504.53
  6. Step 6: Final answer
    x = 228,455.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.