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Finding the Fourth Proportional to 304,417.94, 420,141.30 and 175,331.58

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Solution

The fourth proportional to 304,417.94, 420,141.30 and 175,331.58 is: 241,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,417.94 : 420,141.30 = 175,331.58 : x
  2. Step 2: Convert to fraction form
    304,417.94/420,141.30 = 175,331.58/x
  3. Step 3: Cross multiply
    304,417.94x = 420,141.30 × 175,331.58
  4. Step 4: Simplify right side
    304,417.94x = 73,664,037,952.25
  5. Step 5: Solve for x
    x = 73,664,037,952.25/304,417.94
  6. Step 6: Final answer
    x = 241,983.24

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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.