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Finding the Fourth Proportional to 294,535.64, 406,448.52 and 180,005.87

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Solution

The fourth proportional to 294,535.64, 406,448.52 and 180,005.87 is: 248,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,535.64 : 406,448.52 = 180,005.87 : x
  2. Step 2: Convert to fraction form
    294,535.64/406,448.52 = 180,005.87/x
  3. Step 3: Cross multiply
    294,535.64x = 406,448.52 × 180,005.87
  4. Step 4: Simplify right side
    294,535.64x = 73,163,117,420.57
  5. Step 5: Solve for x
    x = 73,163,117,420.57/294,535.64
  6. Step 6: Final answer
    x = 248,401.58

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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.