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Finding the Fourth Proportional to 282,005.64, 389,088.90 and 181,461.96

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Solution

The fourth proportional to 282,005.64, 389,088.90 and 181,461.96 is: 250,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,005.64 : 389,088.90 = 181,461.96 : x
  2. Step 2: Convert to fraction form
    282,005.64/389,088.90 = 181,461.96/x
  3. Step 3: Cross multiply
    282,005.64x = 389,088.90 × 181,461.96
  4. Step 4: Simplify right side
    282,005.64x = 70,604,834,408.24
  5. Step 5: Solve for x
    x = 70,604,834,408.24/282,005.64
  6. Step 6: Final answer
    x = 250,366.75

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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.